9th Class Mathematics Lines and Angles Question Bank

done Lines and Angles Total Questions - 25

• question_answer1)
  In the given figure, find the value of \[\angle EOD.\]
  A)
   \[{{25}^{o}}\] done clear
  B)
          \[{{70}^{o}}\] done clear
  C)
   \[{{80}^{o}}\] done clear
  D)
          \[{{90}^{o}}\] done clear
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• question_answer2)
  If the angles of a triangle are in the ratio 2:3:4, then the triangle formed will be
  A)
   right angled triangle done clear
  B)
   isosceles triangle done clear
  C)
   scalene triangle done clear
  D)
   obtuse angled triangle done clear
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• question_answer3)
  In the given figure, if \[CE||BA,\]then the value of \[\angle ACB\]is
  A)
  \[{{60}^{o}}\] done clear
  B)
   \[{{55}^{o}}\] done clear
  C)
  \[{{70}^{o}}\] done clear
  D)
         \[{{90}^{o}}\] done clear
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• question_answer4)
  In figure, if \[AB||CD,CD||EF\]and \[y:z=4:5,\]then find the value of\[x.\]
  A)
  \[{{100}^{o}}\] done clear
  B)
  \[{{76}^{o}}\] done clear
  C)
  \[{{82}^{o}}\] done clear
  D)
         \[{{122}^{o}}\] done clear
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• question_answer5)
  The measure of an angle is four times the measure of its supplementary angle. Then the angle is ____.
  A)
  \[{{36}^{o}}\] done clear
  B)
  \[{{144}^{o}}\] done clear
  C)
  \[{{180}^{o}}\] done clear
  D)
         \[{{72}^{o}}\] done clear
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• question_answer6)
  In the given figure,\[AB||CD\]and PQ, QR intersects AB and CD both at E, F and G, H respectively. Find the value of\[x.\]
  A)
  \[{{40}^{o}}\] done clear
  B)
  \[{{20}^{o}}\] done clear
  C)
  \[{{100}^{o}}\] done clear
  D)
         \[{{30}^{o}}\] done clear
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• question_answer7)
  In the figure, \[AB||\,CD.\]If \[x-\frac{4}{3}y\]and \[y=\frac{3}{8}z,\]find the values of \[x,y\]and z respectively.
  A)
  \[{{30}^{o}},\,\,{{45}^{o}},\,\,86\] done clear
  B)
  \[{{48}^{o}},\,\,{{36}^{o}},\,\,96\] done clear
  C)
  \[{{48}^{o}},\,\,{{36}^{o}},\,\,{{90}^{o}}\] done clear
  D)
  \[{{36}^{o}},\,\,{{45}^{o}},\,\,{{96}^{o}}\] done clear
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• question_answer8)
  In the given figure, find the value of x.
  A)
  \[{{30}^{o}}\] done clear
  B)
  \[{{10}^{o}}\] done clear
  C)
  \[{{40}^{o}}\] done clear
  D)
         \[{{20}^{o}}\] done clear
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• question_answer9)
  In the given figure,\[\angle APO={{42}^{o}}\]and \[\angle CQO={{38}^{o}}.\]Find the value of\[\angle POQ.\]
  A)
  \[{{68}^{o}}\] done clear
  B)
  \[{{72}^{o}}\] done clear
  C)
  \[{{80}^{o}}\] done clear
  D)
         \[{{126}^{o}}\] done clear
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• question_answer10)
  In the given figure, lines XY and MN intersect at O. If \[\angle POY={{90}^{o}}\]and a : b = 2:3, then \[\angle XON\]is equal to ____.
  A)
  \[{{126}^{o}}\] done clear
  B)
  \[{{130}^{o}}\] done clear
  C)
  \[{{90}^{o}}\] done clear
  D)
         \[{{180}^{o}}\] done clear
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• question_answer11)
  The value of \[x,\]in the given triangle is _____.          
  A)
  \[{{4}^{o}}\] done clear
  B)
  \[{{5}^{o}}\] done clear
  C)
  \[{{6}^{o}}\] done clear
  D)
         \[{{8}^{o}}\] done clear
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• question_answer12)
  In the given figure, \[\angle PAQ\]is equal to
  A)
  \[{{45}^{o}}\] done clear
  B)
  \[{{100}^{o}}\] done clear
  C)
  \[{{35}^{o}}\] done clear
  D)
          None of these    done clear
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• question_answer13)
  In the given figure,\[AB||CD.\]Then the value of \[x\]is ____.        
  A)
  \[{{25}^{o}}\] done clear
  B)
  \[{{30}^{o}}\] done clear
  C)
                     \[{{45}^{o}}\] done clear
  D)
         \[{{50}^{o}}\] done clear
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• question_answer14)
  The angles which differ by \[{{38}^{o}}\] and are complementary to each other, are
  A)
  \[{{38}^{o}},\,\,{{52}^{o}}\] done clear
  B)
  \[{{71}^{o}},\,\,{{109}^{o}}\] done clear
  C)
  \[{{26}^{o}},\,\,{{154}^{o}}\] done clear
  D)
         \[{{64}^{o}},\,\,{{26}^{o}}\] done clear
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• question_answer15)
  In the given figure, \[AB||CD.\]Find the value of \[x.\]
  A)
  \[{{189}^{o}}\] done clear
  B)
  \[{{215}^{o}}\] done clear
  C)
         \[{{285}^{o}}\] done clear
  D)
         \[{{280}^{o}}\] done clear
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• question_answer16)
  In the given figure, \[AB||CD,\]find \[\angle ODC.\]
  A)
  \[{{70}^{o}}\] done clear
  B)
  \[{{80}^{o}}\] done clear
  C)
         \[{{90}^{o}}\] done clear
  D)
         \[{{34}^{o}}\] done clear
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• question_answer17)
  If two complementary angles are in the ratio 4:5, then the angles are ____.
  A)
  \[{{50}^{o}},\,\,{{45}^{o}}\] done clear
  B)
  \[{{40}^{o}},\,\,{{50}^{o}}\] done clear
  C)
         \[{{25}^{o}},\,\,{{55}^{o}}\] done clear
  D)
         \[{{35}^{o}},\,\,{{45}^{o}}\] done clear
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• question_answer18)
  If \[AB||CD,\]then \[x\] and y respectively are_____.
  A)
   \[{{40}^{o}},\,\,{{30}^{o}}\] done clear
  B)
          \[{{50}^{o}},\,\,{{77}^{o}}\] done clear
  C)
                      \[{{30}^{o}},\,\,{{45}^{o}}\] done clear
  D)
          \[{{90}^{o}},\,\,{{30}^{o}}\] done clear
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• question_answer19)
  In the given figure, if OCD is an isosceles triangle in which OD and OC are equal, then what will be the value of \[\angle OCD?\]
  A)
  \[{{70}^{o}}\] done clear
  B)
         \[{{50}^{o}}\] done clear
  C)
         \[{{65}^{o}}\] done clear
  D)
         \[{{45}^{o}}\] done clear
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• question_answer20)
  In the given figure, the value of y is ____.
  A)
  \[{{24}^{o}}\] done clear
  B)
         \[{{22}^{o}}\] done clear
  C)
         \[{{20}^{o}}\] done clear
  D)
         \[{{10}^{o}}\] done clear
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• question_answer21)
  Read the statements carefully and state T for true and 'F' for false.

  (i) Two lines parallel to the same line are parallel to one another.

  (ii) If two lines parallel to each other are intersected by a transversal, then corresponding angles are equal.

  (iii) If two parallel lines are intersected by a transversal then alternate angles are equal.

  A)

  (i)	(ii)	(iii)
  T	F	F

                  done clear
  B)
        

  (i)	(ii)	(iii)
  T	F	T

                  done clear
  C)
        

  (i)	(ii)	(iii)
  T	T	F

                  done clear
  D)
        

  (i)	(ii)	(iii)
  T	T	T

  done clear
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• question_answer22)
  Fill in the blanks.

  (i) Angle forming a linear pair are P angles.

  (ii) The angle between the bisectors of the two acute angles of a right-angled traingle is Q.

  (iii) Sum of interior angles of a quadrilateral is R.

  A)

  P	Q	R
  Supplementary	\[{{135}^{o}}\]	\[{{360}^{o}}\]

                  done clear
  B)
        

  P	Q	R
  Complementary	\[{{135}^{o}}\]	\[{{720}^{o}}\]

                  done clear
  C)
        

  P	Q	R
  Supplementary	\[{{90}^{o}}\]	\[{{180}^{o}}\]

                  done clear
  D)
        

  P	Q	R
  Complementary	\[{{90}^{o}}\]	\[{{360}^{o}}\]

  done clear
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• question_answer23)
  Which of the following statements is CORRECT?
  A)
   If two angles forming a linear pair, then each of these angle is of measure\[{{90}^{o}}\]. done clear
  B)
          Angles forming a linear pair can both be acute angles. done clear
  C)
          Both of the angles forming a linear pair can be obtuse angles. done clear
  D)
          Bisectors of the adjacent angles forming a linear pair form a right angle. done clear
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• question_answer24)
  Use the given figure to match Column-I with Column-II.

  	Column-I	Column-II
  (P)	Corresponding angles	(1) \[\angle 1=\angle 7\]
  (Q)	Alternate interior angles	(2) \[\angle 4+\angle 5\]
  (R)	Alternate exterior angles	(3) \[\angle 1=\angle 5\]
  (S)	Co-interior angles	(4) \[\angle 4=\angle 6\]

           
  A)

  P	Q	R	S
  4	1	2	3

                  done clear
  B)
        

  P	Q	R	S
  3	2	4	1

                  done clear
  C)
        

  P	Q	R	S
  4	2	1	3

                  done clear
  D)
        

  P	Q	R	S
  3	4	1	2

  done clear
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• question_answer25)
  In the given figure, \[AC\bot AB.\]find (i)\[\angle BAP,\] (ii) \[\angle CAQ.\]
  A)

  (i)	(ii)
  \[{{15}^{o}}\]	\[{{45}^{o}}\]

                  done clear
  B)
        

  (i)	(ii)
  \[{{17}^{o}}\]	\[{{45}^{o}}\]

                  done clear
  C)
        

  (i)	(ii)
  \[{{15}^{o}}\]	\[{{33}^{o}}\]

                  done clear
  D)
        

  (i)	(ii)
  \[{{17}^{o}}\]	\[{{33}^{o}}\]

                  done clear
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