Question

Name an angle vertical to TPQ

A.) TPU
B.) QPU
C.) UPR
D.) None of these

2nd Q

If UPT = 48' what is the measure of RPU

A.) 48'
B.) 132'
C.) 180'
D.)228

Answer 1

1. c
2.B
180-48
132
Hope this helps

Answer 2

Part 1) Option C
`Angle\ UPR`

Part 2) Option B
`132\°`

Explanation:

Part 1) we know that

Vertical Angles are the angles opposite each other when two lines cross.

Vertical angles are congruent

In this problem

`<TPQ=<UPR` -----> by vertical angles

`<TPU=<QPR` -----> by vertical angles

therefore

the answer is the option C

Part 2) we know that

`<UPT+<RPU=180\°` -------> by supplementary angles

we have

`<UPT=48\°`

substitute and solve for <RPU

`<RPU=180\°-48\°=132\°`