AnswersGeometryTriangle Angle Theorems

Triangle Angle Theorems — Quiz Answers

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1
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Which statement regarding the diagram is true?

A
m angle JKM plus m angle MLK is equal to 108 degrees
B
m angle MKL plus m angle MLK is equal to m angle JKM
C
m angle KML plus m angle MLK is equal to m angle JKM
D
m angle MKL plus m angle MLK is equal to 108 degrees
2
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Which angle’s measure is equal to the sum of the measures of angle BAC and angle BCA ?

A
angle BCF
B
angle CBA
C
angle CBE
D
angle DAC
3

Which statement regarding the diagram is true?

A
m angle WXY is equal to m angle YXZ
B
m angle WXY plus m angle YXZ is equal to 180 degrees
C
m angle WXY is less than m angle YZX
D
m angle WXY plus m angle XYZ is equal to 180 degrees
4

Which represents an exterior angle of triangle ABF ?

A
angle CAD
B
angle AFE
C
angle CAB
D
angle BAD
5

What is m∠SQR ? Enter your answer in the box.

Answer:

56

6

If m angle cap x is equal to 34 degrees and m angle cap z is equal to 26 degrees , what is m angle cap y ?

A
m angle cap y is equal to 120 degrees
B
m angle cap y is equal to 26 degrees
C
m angle cap y is equal to 34 degrees
D
m angle cap y is equal to 60 degrees
7

What is the value of x ? [Art not to scale.]

A
x is equal to 93
B
x is equal to 23
C
x is equal to 35
D
x is equal to 58
8

Which angle has a measure equal to the sum of m angle SQR and m angle QRS ?

A
angle DQS
B
angle QSR
C
angle RSC
D
angle SRE
9

Which statement regarding the interior and exterior angles of a triangle is always true?

A
An exterior angle is supplementary to a remote interior angle.
B
A remote interior angle is congruent to the exterior angle.
C
An exterior angle is supplementary to the adjacent interior angle.
D
An adjacent interior angle is supplementary to a remote interior angle.
10

Which is a true statement about the diagram?

A
m angle 3 plus m angle 4 plus m angle 5 is equal to 180 degrees
B
m angle 5 plus m angle 6 is equal to m angle 1
C
m angle 1 plus m angle 2 is equal to 180 degrees
D
m angle 2 plus m angle 3 is equal to m angle 5
11

What is the value of x ?

A
x is equal to 32
B
x is equal to 36
C
x is equal to 37
D
x is equal to 40
12

Which statement about the value of x is true?

A
x is greater than 38
B
x is greater than 103
C
x is less than 39
D
x is less than 77
13

Which could be the missing reason in Step 3?

A
corresponding angles are congruent
B
vertical angles are congruent
C
alternate interior angles are congruent
D
alternate exterior angles are congruent
14

The value of x is underline

A
132
B
96
C
264
D
84
15

What is the value of k ?

A
k is equal to 28
B
k is equal to 42
C
k is equal to 31
D
k is equal to 29
16

Find the value of x

A
x is equal to 3
B
x is equal to 52
C
x is equal to 2
D
x is equal to 33
17

What is the value of h ?

A
h is equal to 1 point 5
B
h is equal to 13 point 5
C
h is equal to 9
D
h is equal to 10

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