Linear Pairs and Vertical Angles Answers

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1
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Which angles are linear pairs? Check all that apply.

A
∠SRT and ∠TRV
B
∠SRT and ∠TRU
C
∠VRW and ∠WRS
D
∠VRU and ∠URS
E
∠URW and ∠WRS
2
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What did you include in your response? Check all that apply.

A
The sum of the measures of the angles in a linear pair is 180 degrees.
B
Vertical angles are congruent.
3

Which is a pair of vertical angles?

A
∠VRU and ∠SRT
B
∠TRS and ∠VRW
C
∠TRV and ∠WRU
D
∠WRV and ∠SRW
5

What is m∠SRW?

A
18
B
54
C
126
D
108
6

What is the measure of ∠DAE?

A
45°
B
46°
C
91°
D
146°
7

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

8

♣:

A
definition of congruence
B
definition of vertical angles
C
vertical angles theorem
D
vertical angles form a line
9

m∠VRU = °

A
80
B
85
C
90
D
95
10

♦:

A
3x + 4 = 15
B
3x + 4 = 49
C
measure of angle QVR = 49 degrees
D
measure of angle UVT = (3x + 4) degrees
11

m∠URW = °

A
5
B
10
C
15
D
20

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