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question_answer1)
The angles of a triangle are
and \[{{(x-10)}^{o}}.\] What type of a triangle is it?
A)
An isosceles triangle done
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B)
A scalene triangle done
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C)
A right angled triangle done
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D)
An equilateral triangle done
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question_answer2)
The angles of a triangle are in the ratio 1:3:5. Find the angles.
A)
\[60{}^\circ ,\text{ }40{}^\circ ,\text{ }80{}^\circ \] done
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B)
\[20{}^\circ ,\text{ }60{}^\circ ,\text{ }100{}^\circ \] done
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C)
\[30{}^\circ ,\text{ }90{}^\circ ,\text{ }50{}^\circ \] done
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D)
\[30{}^\circ ,\text{ }60{}^\circ ,\text{ }90{}^\circ \]
done
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question_answer3)
Find the values of \[x\] and \[y\]in the figure given.
A)
\[x={{66}^{o}}\] \[y=44{}^\circ \] done
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B)
\[x={{44}^{o}}\] \[~y=66{}^\circ \] done
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C)
\[x={{46}^{o}}\] \[y=64{}^\circ \] done
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D)
\[x={{64}^{o}}\] \[y\text{ }=\text{ }46{}^\circ \] done
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question_answer4)
From the following figure find the value of \[x.\]
A)
\[40{}^\circ \] done
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B)
\[30{}^\circ \] done
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C)
\[45{}^\circ \] done
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D)
\[60{}^\circ \] done
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question_answer5)
\[\Delta ABC\]is isosceles and AB > AC.
Which of the following must be false?
A)
AB = BC done
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B)
BC = AC done
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C)
y = z done
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D)
x = z done
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question_answer6)
The diagonal of a rectangle is thrice its smaller side. Find the ratio of the length to the breadth of the rectangle.
A)
3 : 1 done
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B)
\[\sqrt{3}:1\] done
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C)
\[\sqrt{2}:1\] done
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D)
\[2\sqrt{2}:1\] done
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question_answer7)
In the given triangle, what is the value of z?
A)
\[65{}^\circ \] done
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B)
\[35{}^\circ \] done
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C)
\[55{}^\circ \] done
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D)
\[90{}^\circ \] done
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question_answer8)
Two sides of a triangle are 7 units and 10 units. Which of the following lengths can be the length of the third side?
A)
2 units done
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B)
17 units done
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C)
13 units done
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D)
19 units done
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question_answer9)
In triangle EFG, EF = FG = EG = 7.5 cm. What is the measure of\[\angle FEG?\]
A)
\[60{}^\circ \] done
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B)
\[45{}^\circ \] done
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C)
\[36{}^\circ \] done
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D)
\[120{}^\circ \] done
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question_answer10)
In \[\Delta ABC,3\angle A=2\angle B\]and \[2\angle A=\angle C.\] Find the angles of the triangle
| \[\angle A\] | \[\angle B\] | \[\angle C\] |
A)
B)
C)
D)
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question_answer11)
\[\Delta ABC\]is right angled at B.
Which statement is true?
A)
\[x+y={{180}^{o}}\] done
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B)
\[~x+y=270{}^\circ \] done
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C)
\[~x+y=300{}^\circ \] done
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D)
\[~x+y=90{}^\circ \] done
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question_answer12)
In an isosceles triangle ABC, with AB = AC, BD is perpendicular from B to the side AC. What is the value of \[B{{D}^{2}}-C{{D}^{2}}?\]
A)
2AB.BC done
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B)
2AD.BD done
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C)
2 DC.AD done
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D)
2 BD.CD done
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question_answer13)
In the figure, ACE and BCD are straight lines. Given that AB = BC = CA, find \[\angle CED.\]
A)
\[{{100}^{o}}\] done
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B)
\[{{120}^{o}}\] done
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C)
\[{{60}^{o}}\] done
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D)
\[{{30}^{o}}\] done
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question_answer14)
In \[\Delta ABC,AB=BC\]and \[\overline{BD}\]bisects \[\overline{AC}.\]
Which of the following cannot be concluded?
A)
\[AD=DC\] done
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B)
\[~w=z\] done
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C)
\[x=y\] done
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D)
\[~w=x\] done
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question_answer15)
Find the length of diagonal of a square whose area is\[~78400\text{ }c{{m}^{2}}.\]
A)
\[280\sqrt{2}\] done
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B)
\[28\sqrt{2}\,cm\] done
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C)
\[280cm\] done
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D)
\[280\sqrt{3}\,cm\] done
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question_answer16)
In a triangle ABC, AB + BC = 10 cm; BC + CA = 12 cm and CA + AB = 16 cm. Find the perimeter of the triangle.
A)
38 cm done
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B)
19 cm done
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C)
76 cm done
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D)
36 cm done
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question_answer17)
What is the height of an equilateral triangle if one of its sides is 10 cm long?
A)
\[\sqrt{2}\,cm\] done
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B)
\[3\sqrt{5}\,cm\] done
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C)
\[3\sqrt{2}\,cm\] done
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D)
\[5\sqrt{3}\,cm\] done
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question_answer18)
In \[\Delta ABC,\angle B\]is a right angle, AC = 24 cm, D is the mid point of AC.
Find the length of BD.
A)
24 cm done
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B)
12 cm done
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C)
6 cm done
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D)
7 cm done
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question_answer19)
In\[\Delta ABC,BC=AC\]and\[\angle B={{72}^{o}},\]find the measures of \[\angle A\]and \[\angle C.\]
A)
\[\angle A={{72}^{o}},\angle C={{36}^{o}}\] done
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B)
\[\angle A={{36}^{o}},\angle C={{36}^{o}}\] done
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C)
\[\angle A={{72}^{o}},\angle C={{48}^{o}}\] done
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D)
\[\angle A={{42}^{o}},\angle C={{66}^{o}}\] done
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question_answer20)
One of the exterior angles of a triangle is 120° and the interior opposite angles are in the ratio 1 : 5. Find the angles of the triangle.
| \[\angle A\] | \[\angle B\] | \[\angle C\] |
A)
B)
C)
D)
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question_answer21)
What is the measure of \[x\] in the given figure?
A)
17 cm done
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B)
15 cm done
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C)
12 cm done
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D)
16 cm done
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question_answer22)
In the given figure, if z = 30°, what is the value of \[x+y?\]
A)
\[{{60}^{o}}\] done
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B)
\[{{210}^{o}}\] done
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C)
\[{{330}^{o}}\] done
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D)
\[{{150}^{o}}\] done
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question_answer23)
In\[\Delta PQR,\angle P-\angle Q={{18}^{o}}\]and \[\angle Q-\angle R={{12}^{o}}.\]Find all the angles of the triangle.
| \[\angle P\] | \[\angle Q\] | \[\angle R\] |
A)
B)
C)
D)
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question_answer24)
If the sides of a right triangle are\[x,x+1\]and \[x-1,\]what is the measure of its hypotenuse?
A)
5 done
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B)
4 done
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C)
1 done
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D)
0 done
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question_answer25)
A man goes 150 m due east and then 200 m due north. How far is he from the starting point?
A)
180 m done
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B)
280 m done
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C)
160 m done
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D)
250 m done
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question_answer26)
Which of the following statements is false?
A)
The sum of two sides of a triangle is greater than the third side. done
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B)
In a right angled triangle hypotenuse is the smallest side. done
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C)
A triangle cannot have an obtuse angle and a right angle. done
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D)
All the above done
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question_answer27)
A rectangular carpet has an area of 60 sq. m. If its diagonal and longer side together equal 5 times the shorter side, find the length of the carpet.
A)
5 m done
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B)
12 m done
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C)
13 m done
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D)
14.5 m done
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question_answer28)
Observe the given triangle.
Which of the following is true about t, r and\[x?\]
A)
\[~t<x<r\] done
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B)
\[~r<t<x~~\] done
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C)
\[~x<t<r\] done
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D)
\[~t<r<x\] done
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question_answer29)
In the given figure, what is the value of 'c' in terms of 'a' and 'b'?
A)
\[180{}^\circ \text{ }-\text{ }a-b~\]
done
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B)
\[a+3b-180{}^\circ \] done
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C)
\[360{}^\circ -2a-3b\] done
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D)
\[2(a+b-90{}^\circ )\] done
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question_answer30)
Identify the false statement.
A)
The difference of two sides of a triangle is lesser than its third side. done
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B)
A triangle can have an obtuse angle and a right angle. done
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C)
The angle opposite to the smallest side of a triangle is the least. done
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D)
All of the above. done
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question_answer31)
In the figure given, if T is the midpoint of \[\overline{QR},\]and\[\overline{PT}\]is perpendicular to\[\overline{QR},\]what is the length of\[\overline{PT}?\]
A)
10 cm done
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B)
15 cm done
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C)
20 cm done
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D)
25 cm done
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question_answer32)
BCD and BEA are straight lines. Find \[\angle x.\]
A)
\[28{}^\circ \] done
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B)
\[86{}^\circ \] done
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C)
\[76{}^\circ \] done
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D)
\[104{}^\circ \] done
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question_answer33)
If one angle of a triangle is greater than each of the two remaining angles by \[30{}^\circ \], find the angles of the triangle.
A)
\[40{}^\circ ,\text{ }40{}^\circ ,\text{ }100{}^\circ \] done
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B)
\[50{}^\circ ,\text{ }50{}^\circ ,\text{ }80{}^\circ \] done
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C)
\[30{}^\circ ,\text{ }30{}^\circ ,\text{ }120{}^\circ \] done
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D)
\[35{}^\circ ,\text{ }35{}^\circ ,\text{ }110{}^\circ \]
done
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question_answer34)
A builder constructed a ramp to take material to the top of a building 12 m high. The distance between the foot of the ramp and the foot of the wall is 35 m. What is the length of the ramp?
A)
26 m done
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B)
36 m done
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C)
46 m done
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D)
37 m done
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question_answer35)
ABC is a triangle in which BC is produced to D, CA is produced to\[\angle DCA={{108}^{o}},\]and \[\angle EAB={{124}^{o}}.\]What is the measure of \[\angle ABC?\]
A)
\[{{58}^{o}}\] done
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B)
\[{{52}^{o}}\] done
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C)
\[{{72}^{o}}\] done
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D)
\[{{68}^{o}}\] done
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question_answer36)
If A : An isosceles triangle is right angled. \[R:\angle A=\angle B={{45}^{o}}\]and \[\angle C={{90}^{o}}.\]Which of the following statements can be true?
A)
A is true and R is the correct explanation of A. done
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B)
A is true and R is not the correct explanation of A. done
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C)
A is false. done
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D)
R is false. done
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question_answer37)
If the angles of a triangle are \[{{(2x+5)}^{o}},{{(x+20)}^{o}}\] and\[{{(2x-10)}^{o}},\]what type of a triangle is it?
A)
An acute angled triangle done
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B)
An obtuse angled triangle done
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C)
A right angled triangle done
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D)
An isosceles triangle done
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question_answer38)
A ship sails 33 km due south, and then 56 km due west. How far is it from its starting point?
A)
68 km done
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B)
56 km done
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C)
65 km done
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D)
58 km done
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question_answer39)
In the figure given, \[\Delta ABC\] is right triangle and \[\angle ={{40}^{o}}.\]
What is the measure of\[\angle ECD?\]
A)
\[40{}^\circ \] done
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B)
\[50{}^\circ \] done
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C)
\[130{}^\circ \] done
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D)
\[140{}^\circ \] done
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question_answer40)
Which of the following are 2 of the 3 interior angle measurements of a triangle for which the 3rd angle is the same as one of the two given measurements?
A)
\[20{}^\circ ,\text{ }40{}^\circ \] done
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B)
\[40{}^\circ ,\text{ }30{}^\circ \] done
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C)
\[100{}^\circ ,\text{ }40{}^\circ \] done
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D)
\[50{}^\circ ,\text{ }60{}^\circ \] done
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