7th Class Mathematics The Triangle and its Properties Question Bank

done Geometry Total Questions - 62

• question_answer1)
  A line which intersects two or more given line at distinct point is called a
  A)
  parallel             done clear
  B)
  corresponding done clear
  C)
  transversal       done clear
  D)
  perpendicular done clear
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• question_answer2)
  Two sides of an Isosceles triangle is 5 cm and 6 cm then the third side is
  A)
  5cm                             done clear
  B)
  6cm done clear
  C)
  4cm                             done clear
  D)
  Either 5cm or 6cm done clear
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• question_answer3)
  If one angle of a triangle is\[75{}^\circ \]and the other angles are in the ratio \[2:3.\] The angles are
  A)
   \[42{}^\circ ,\,\,63{}^\circ \]         done clear
  B)
   \[52{}^\circ ,\,\,53{}^\circ \] done clear
  C)
   \[45{}^\circ ,\,\,60{}^\circ \]           done clear
  D)
   \[35{}^\circ ,\,\,70{}^\circ \] done clear
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• question_answer4)
  The condition that makes the following pair of triangles congruent is
  A)
  SSS           done clear
  B)
  ASA done clear
  C)
  SAS                             done clear
  D)
  RHS done clear
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• question_answer5)
  The side included between the angles A and B of \[\Delta \]ABC is
  A)
  AC                               done clear
  B)
  CB done clear
  C)
  AB                   done clear
  D)
  CA done clear
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• question_answer6)
  If \[\angle 2=2\angle 1,\] then \[\angle 7\] is equal to
  A)
   \[50{}^\circ \]                                   done clear
  B)
   \[60{}^\circ \] done clear
  C)
   \[70{}^\circ \]                                   done clear
  D)
   \[80{}^\circ \] done clear
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• question_answer7)
  In \[\Delta \]ABC, AB = 3cm, BC = 4cm, AC = 5cm. The smallest angle of the triangle is
  A)
   \[\angle A\]                              done clear
  B)
   \[\angle B\] done clear
  C)
   \[\angle C\]                  done clear
  D)
  all are equal done clear
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• question_answer8)
  If one angle of a triangle is greater than other two angles by \[30{}^\circ ,\] then the angles of the triangle are:
  A)
   \[40{}^\circ ,\,\,40{}^\circ ,\,\,100{}^\circ \]        done clear
  B)
   \[50{}^\circ ,\,\,50{}^\circ ,\,\,80{}^\circ \] done clear
  C)
   \[30{}^\circ ,\,\,30{}^\circ ,\,\,120{}^\circ \]        done clear
  D)
   \[35{}^\circ ,\,\,35{}^\circ ,\,\,110{}^\circ \] done clear
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• question_answer9)
  Number of facts needed to prove two triangle congruent are
  A)
  1                                  done clear
  B)
  2 done clear
  C)
  3           done clear
  D)
  4 done clear
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• question_answer10)
  The congruent condition does not valid for triangles is
  A)
  SSS                             done clear
  B)
  ASA done clear
  C)
  RHS                            done clear
  D)
  AAA done clear
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• question_answer11)
  Which of the following is \[\left( \frac{1}{5} \right)\text{th}\] of its complement?
  A)
   \[18{}^\circ \]                                   done clear
  B)
   \[15{}^\circ \] done clear
  C)
   \[36{}^\circ \]                       done clear
  D)
   \[75{}^\circ \] done clear
  View Solution play_arrow

• question_answer12)
  Which of the following angles is \[20{}^\circ \] less than its supplement?
  A)
   \[100{}^\circ \]                     done clear
  B)
   \[35{}^\circ \] done clear
  C)
   \[55{}^\circ \]                       done clear
  D)
   \[80{}^\circ \] done clear
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• question_answer13)
  You are given lengths of sides of a figure. Which of these can form a triangle?
  A)
  3, 7, 15           done clear
  B)
  6, 3, 9 done clear
  C)
  8, 7, 12           done clear
  D)
  5, 5, 10 done clear
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• question_answer14)
  One of the acute angle of a right angled triangle is\[62{}^\circ \]. The measure of other acute angle is
  A)
   \[50{}^\circ \]                                   done clear
  B)
   \[28{}^\circ \] done clear
  C)
   \[36{}^\circ \]                                   done clear
  D)
   \[48{}^\circ \] done clear
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• question_answer15)
  (i) A line segment has finite length. (ii) A line has only one dimension. (iii) A line \[\overleftrightarrow{AB}\] and \[\overleftrightarrow{BA}\] represents the same. (iv) Ray\[\overrightarrow{AB}\] and \[\overrightarrow{BA}\] represents the same.
  A)
  (i) & (ii)                       done clear
  B)
  (ii) & (iii) done clear
  C)
  only (iv)                       done clear
  D)
  (iii) & (iv) done clear
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• question_answer16)
  In the following AD is the bisector of\[\angle EAF\] Which one of the following statements is incorrect? (i) \[\angle EAD\]is an acute angle. (ii) \[\angle BAE\]is an obtuse angle. (iii) \[\angle FAD\] and \[\angle DAE\] are complementary to each other. (iv) \[\angle CAD\]and\[\angle DAE\]are not complementary to each other.
  A)
  Only (iv)                      done clear
  B)
  Only (i) done clear
  C)
  Both (ii) & (iii)    done clear
  D)
  Only (ii) done clear
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• question_answer17)
  \[\Delta ABC\] and \[\Delta ABD\] are on common base AB, and AC = BD and BC = AD as shown in figure. Which of the following statements is true. (i) \[\Delta ABC\cong \Delta ABD\] (ii) \[\Delta ABC\cong \Delta ADB\] (iii) \[\Delta ABC\cong \Delta BAD\]
  A)
  Only (i)           done clear
  B)
  Both (i) and (ii) done clear
  C)
  (i), (ii )& (iii)                done clear
  D)
  Only (iii) done clear
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• question_answer18)
  (i) If two squares have equal areas, they are congruent. (ii) Two equilateral triangles are always congruent. (iii) If two triangles are equal in area, they are congruent. (iv) Two isosceles triangles are congruent.
  A)
  All statements are correct done clear
  B)
  Only (i) is correct done clear
  C)
  (ii) & (iii) both are correct done clear
  D)
  (iii) is correct done clear
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• question_answer19)
  (i) We can construct a triangle 2 obtuse and one acute angle. (ii) If one angle of a triangle is acute and one must be obtuse. (iii) If a perpendicular is draw from any comer to opposite side in an equilateral triangle. Two congruent triangle will be formed.
  A)
  Only (i) and (ii) are correct done clear
  B)
  Only (iii) is correct done clear
  C)
  (iii) is incorrect done clear
  D)
  (i) is correct done clear
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• question_answer20)
  If \[1\parallel m,\] then \[x\] is equal to
  A)
   \[115{}^\circ \]                                 done clear
  B)
   \[295{}^\circ \] done clear
  C)
   \[195{}^\circ \]                                 done clear
  D)
   \[245{}^\circ \] done clear
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• question_answer21)
  In the given figure, it is given that \[\angle A=60{}^\circ \]\[CE\parallel BA\]and\[\angle ECD=65{}^\circ .\]Then\[\angle ACB\]equals to
  A)
   \[60{}^\circ \]                       done clear
  B)
   \[55{}^\circ \] done clear
  C)
   \[70{}^\circ \]                                   done clear
  D)
   \[90{}^\circ \] done clear
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• question_answer22)
  Value of \[x\] in the given diagram is
  A)
   \[70{}^\circ \]                                   done clear
  B)
   \[95{}^\circ \] done clear
  C)
   \[110{}^\circ \]                                 done clear
  D)
   \[120{}^\circ \] done clear
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• question_answer23)
  The value of \[x\] in the given figure.
  A)
   \[30{}^\circ \]                                   done clear
  B)
   \[25{}^\circ \] done clear
  C)
   \[35{}^\circ \]                                   done clear
  D)
   \[45{}^\circ \] done clear
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• question_answer24)
  Value of \[\angle A\] and \[\angle C\] in given triangle is
  A)
   \[40{}^\circ ,\,\,20{}^\circ \]          done clear
  B)
   \[25{}^\circ ,\,\,35{}^\circ \] done clear
  C)
   \[30{}^\circ ,\,\,30{}^\circ \]          done clear
  D)
   \[45{}^\circ ,\,\,15{}^\circ \] done clear
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• question_answer25)
  In the given figure how much angle a is greater than angle b.
  A)
   \[26{}^\circ \]              done clear
  B)
   \[28{}^\circ \] done clear
  C)
   \[30{}^\circ \]                       done clear
  D)
   \[24{}^\circ \] done clear
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• question_answer26)
  Length of AC in given figure is
  A)
  12.5 cm          done clear
  B)
  14 cm done clear
  C)
  15 cm                          done clear
  D)
  13 cm done clear
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• question_answer27)
  By which congruence condition are the two triangles in the given figure congruent?
  A)
  SAS                             done clear
  B)
  RHS done clear
  C)
  SSS                             done clear
  D)
  ASA done clear
  View Solution play_arrow

• question_answer28)
  If triangle PQR is congruent to triangle UVW then value of\[x\]is
  A)
   \[50{}^\circ \]                                   done clear
  B)
   \[60{}^\circ \] done clear
  C)
   \[80{}^\circ \]           done clear
  D)
   \[70{}^\circ \] done clear
  View Solution play_arrow

• question_answer29)
  Which congruence condition, if any can be used to prove the given triangles congruent?
  A)
  SSS                             done clear
  B)
  SAS done clear
  C)
  AAS                             done clear
  D)
  None of these done clear
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• question_answer30)
  Two complementary angles are in the ratio \[7:8\] the angles are
  A)
   \[30{}^\circ ,\,\,60{}^\circ \]                       done clear
  B)
   \[40{}^\circ ,\,\,50{}^\circ \] done clear
  C)
   \[42{}^\circ ,\,\,48{}^\circ \]                       done clear
  D)
   \[27{}^\circ ,\,\,63{}^\circ \] done clear
  View Solution play_arrow

• question_answer31)
  If \[\angle A=(4x+2){}^\circ ,\] the measure of the complementary of\[\angle A\]is equal to
  A)
   \[\left( 178+4x \right){}^\circ \]       done clear
  B)
   \[\left( 88-4x \right){}^\circ \] done clear
  C)
   \[\left( 4x+88 \right){}^\circ \]          done clear
  D)
   \[\left( 6x-178 \right){}^\circ \] done clear
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• question_answer32)
  \[\angle 1\]and\[\angle 2\]are complementary angles\[\angle 2\]and \[\angle 3\] are supplementary angles. If \[\angle 1=45{}^\circ ,\] then \[\angle 3\] measures
  A)
   \[145{}^\circ \]                                 done clear
  B)
   \[135{}^\circ \] done clear
  C)
   \[45{}^\circ \]                                   done clear
  D)
   \[150{}^\circ \] done clear
  View Solution play_arrow

• question_answer33)
  If \[\angle 1=\angle 2,\] then value of y is
  A)
   \[45{}^\circ \]                                   done clear
  B)
   \[60{}^\circ \] done clear
  C)
   \[22.5{}^\circ \]              done clear
  D)
   \[12.5{}^\circ \] done clear
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• question_answer34)
  In the given figure, (a + b) equals
  A)
   \[235{}^\circ \]                                 done clear
  B)
   \[215{}^\circ \] done clear
  C)
   \[195{}^\circ \]                                 done clear
  D)
   \[225{}^\circ \] done clear
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• question_answer35)
  \[\Delta ABC\] is an equilateral triangle in which\[AD\bot BC\]\[\Delta ABD\] is congruent to:
  A)
   \[\Delta ADC\]                        done clear
  B)
   \[\Delta ACD\] done clear
  C)
   \[\Delta ABC\]                         done clear
  D)
   \[\Delta CDA\] done clear
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• question_answer36)
  If one angle of a triangle is equal to the sum of the other two angles, the triangle must be:
  A)
  scalene             done clear
  B)
  right angled done clear
  C)
  obtuse angles               done clear
  D)
  actute angled done clear
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• question_answer37)
  The value of \[x\] in the figure is
  A)
  35                                done clear
  B)
  70 done clear
  C)
  55                                done clear
  D)
  65 done clear
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• question_answer38)
  If\[AB\parallel CD\]and\[BC\parallel DC\]then\[\angle a+\angle b\]is equal to
  A)
   \[110{}^\circ \]              done clear
  B)
   \[120{}^\circ \] done clear
  C)
   \[100{}^\circ \]                                 done clear
  D)
   \[115{}^\circ \] done clear
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• question_answer39)
  The two legs of a right triangle are equal and the square of the hypotenuse is 50. The length of each leg is
  A)
  25                                done clear
  B)
  5 done clear
  C)
  10                    done clear
  D)
           12.5 done clear
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• question_answer40)
  The perimeter of a rectangle whose one side measure 20 m and the diagonal is 29 m
  A)
  82 m                done clear
  B)
  78 cm done clear
  C)
  98 m                            done clear
  D)
  88 m done clear
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• question_answer41)
  Which of the following is correct measurements of sides of a right angled triangle?
  A)
  9, 12, 15          done clear
  B)
  7, 8, 10 done clear
  C)
  7, 24, 26                      done clear
  D)
  2, 3, 6 done clear
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• question_answer42)
  \[ABC\cong DCB\] by SAS. Which of the following is not a matching part? (i) \[AB=DC\]                (ii) \[\angle ABC=\angle DCB\] (iii) \[AC=DB\]              (iv) \[BC=CB\]
  A)
  Both (i) & (ii) are correct done clear
  B)
  Only (ii) is correct done clear
  C)
  Only (iii) is correct done clear
  D)
  Only (iv) is correct done clear
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• question_answer43)
  If ABCD is a square; X is the mid-point of AB and Y is the midpoint of BC, then considered following statements. (i) The triangle ADX and BAY are congruent (ii) \[\angle DXA=\angle AYB\] (iii) DX is perpendicular to AY
  A)
  Only (i) is correct done clear
  B)
  (iv) is correct done clear
  C)
  (i), (ii) & (iii) all are correct done clear
  D)
  Only (ii) is correct done clear
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• question_answer44)
  If the angles of a triangle are in the ratio \[1:2:1\] then which of the following statement (s) is/are correct (i) Triangle is right angled triangle. (ii) Triangle is an isosceles triangle. (iii) Angles of triangle are \[45{}^\circ ,\] \[45{}^\circ \] and \[90{}^\circ \] respectively.
  A)
  (i) and (iii) is correct done clear
  B)
  Only (iii) is correct done clear
  C)
  (ii) and (iii) is correct done clear
  D)
  (i) and (ii) is correct done clear
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• question_answer45)
  Four triangles are formed by joining the mid points of three sides of a triangle. (i) Two triangles are congruent (ii) Three triangles are congruent (iii) All the triangles are congruent (iv) None are congruent
  A)
  (i) is correct                 done clear
  B)
  (ii) is correct done clear
  C)
  (iii) is correct               done clear
  D)
  (iv) is correct done clear
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• question_answer46)
  Consider the following statements related to the congruency of two right triangles. (i) Equality of two sides of one triangle with any two sides of the second makes the triangles congruent. (ii) Equality of hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangles congruent. (iii) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangles congruent.
  A)
  (i), (ii) and (iii) are correct done clear
  B)
  (i) and (ii) are correct done clear
  C)
  (i) and (iii) are correct done clear
  D)
  (ii) and (iii) are correct done clear
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• question_answer47)
  DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In the figure PQRS is a square with \[OR=TR\] \[SR=\left( 7t-6 \right)\,cm\] and \[PS=\left( 2t+9 \right)\,cm.\] Based on this information answer the questions given below. The value of t is
  A)
  4 cm                            done clear
  B)
  3 cm done clear
  C)
  2 cm                            done clear
  D)
  5 cm done clear
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• question_answer48)
  DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In the figure PQRS is a square with \[OR=TR\] \[SR=\left( 7t-6 \right)\,cm\] and \[PS=\left( 2t+9 \right)\,cm.\] Based on this information answer the questions given below. The value of PS is
  A)
  15 cm          done clear
  B)
  16 cm done clear
  C)
  12 cm                          done clear
  D)
  13 cm done clear
  View Solution play_arrow

• question_answer49)
  DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In the figure PQRS is a square with \[OR=TR\] \[SR=\left( 7t-6 \right)\,cm\] and \[PS=\left( 2t+9 \right)\,cm.\] Based on this information answer the questions given below. The value of angle x and y is
  A)
   \[23{}^\circ ,\,\,67{}^\circ \]          done clear
  B)
   \[51.5{}^\circ ,\,\,29.5{}^\circ \] done clear
  C)
   \[50{}^\circ ,\,\,30{}^\circ \]                       done clear
  D)
   \[67.5{}^\circ ,\,\,22.5{}^\circ \] done clear
  View Solution play_arrow

• question_answer50)
  DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow In the figure, 4 pieces of identical \[30{}^\circ -60{}^\circ -90{}^\circ \] set squares are arranged to form a quadrilateral ABCD. Based on the information answer the questions given below. What type of quadrilateral is ABCD?
  A)
  Square      done clear
  B)
  Rhombus done clear
  C)
  Kite                              done clear
  D)
  Trapezium done clear
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• question_answer51)
  DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow In the figure, 4 pieces of identical \[30{}^\circ -60{}^\circ -90{}^\circ \] set squares are arranged to form a quadrilateral ABCD. Based on the information answer the questions given below. \[\angle SPQ\]is equal to
  A)
   \[100{}^\circ \]                     done clear
  B)
   \[80{}^\circ \] done clear
  C)
   \[90{}^\circ \]                                   done clear
  D)
   \[70{}^\circ \] done clear
  View Solution play_arrow

• question_answer52)
  DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow In the figure, 4 pieces of identical \[30{}^\circ -60{}^\circ -90{}^\circ \] set squares are arranged to form a quadrilateral ABCD. Based on the information answer the questions given below. \[\angle CQS\]is equal to
  A)
   \[50{}^\circ \]                                   done clear
  B)
   \[60{}^\circ \] done clear
  C)
   \[55{}^\circ \]                                   done clear
  D)
   \[45{}^\circ \] done clear
  View Solution play_arrow

• question_answer53)
  Assume \[p|\,\,\,|q\] in the figure shown. Then 'x' equals.
  A)
   \[18{}^\circ \]                                   done clear
  B)
   \[22{}^\circ \] done clear
  C)
   \[62{}^\circ \]                       done clear
  D)
   \[72{}^\circ \] done clear
  View Solution play_arrow

• question_answer54)
  In the given figure AC || BD and AE || BE The measure of \[\angle x\] is
  A)
   \[130{}^\circ \]                                 done clear
  B)
   \[110{}^\circ \] done clear
  C)
   \[70{}^\circ \]         done clear
  D)
   \[100{}^\circ \] done clear
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• question_answer55)
  The value of a + b + c is
  A)
  1 right angle                 done clear
  B)
  2 right angles done clear
  C)
  3 right angle                 done clear
  D)
  4 right angles done clear
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• question_answer56)
  If\[\angle 2=(3x-10){}^\circ \]and\[\angle 8=(5x-30){}^\circ ,\]then\[\angle 2\] and\[\angle 8\] are
  A)
   \[100{}^\circ ,\,\,100{}^\circ \]                   done clear
  B)
   \[20{}^\circ ,\,\,20{}^\circ \] done clear
  C)
   \[40{}^\circ ,\,\,90{}^\circ \]          done clear
  D)
   \[60{}^\circ ,\,\,60{}^\circ \] done clear
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• question_answer57)
  In the given figure AB || CD. Then \['x'\] is equal to
  A)
   \[26{}^\circ \]                                   done clear
  B)
   \[13{}^\circ \] done clear
  C)
   \[23{}^\circ \]                                   done clear
  D)
   \[46{}^\circ \] done clear
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• question_answer58)
  If CE is parallel to DB is the given figure, then the value of x will be
  A)
   \[45{}^\circ \]                                   done clear
  B)
   \[75{}^\circ \] done clear
  C)
   \[30{}^\circ \]                                   done clear
  D)
   \[85{}^\circ \] done clear
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• question_answer59)
  In the given triangle, the value of x is
  A)
   \[55{}^\circ \]                                   done clear
  B)
   \[110{}^\circ \] done clear
  C)
   \[70{}^\circ \]                                   done clear
  D)
   \[27.5{}^\circ \] done clear
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• question_answer60)
  \[\angle ABC\] in the given figure is equal to
  A)
   \[75{}^\circ \]                       done clear
  B)
   \[105{}^\circ \] done clear
  C)
   \[115{}^\circ \]                     done clear
  D)
   \[85{}^\circ \] done clear
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• question_answer61)
  \[\text{QP}|\,\,|TS\] and \[\angle QRS=36{}^\circ ,\] then value of \[\angle PQR\]
  A)
   \[48{}^\circ \]                                   done clear
  B)
   \[52{}^\circ \] done clear
  C)
   \[72{}^\circ \]                done clear
  D)
   \[50{}^\circ \] done clear
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• question_answer62)
  In the given figure \[\text{BA}|\,\,|\text{CE}|\,\,|\text{DE}\]. \[BCE\]  is a straight line and \[\angle DCE\] is a right angle. \[\angle BCF\] is equal to
  A)
   \[150{}^\circ \]                     done clear
  B)
   \[115{}^\circ \] done clear
  C)
   \[151{}^\circ \]                                 done clear
  D)
   \[105{}^\circ \] done clear
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