Question

What is the measure of angle TRV?

20°
50°
60°
130°

Answer 1

130
srv is a straight line so angleSRV=180
TRV and SRT make up SRV so TRV + SRT = SRV.
(x-10) + (2x+10) = 180.
the 10s cancel each other out so 3x = 180
so x=60 bc 180/3=60. sub 60 for x in TRV and u get 130. sub 60 for x in SRT and you get 50, which, with 130 makes 180, so the answer is correct!

Answer 2

`m<TRV=130\°`

Explanation:

We know that

`m<TRV+m<TRS=180\°` -----> by supplementary angles

we have

`m<TRV=(2x+10)\°`

`m<TRS=(x-10)\°`

substitute

`(2x+10)+(x-10)=180\°`

`3x=180\°`

`x=60\°`

Find the measure of angle TRV

`m<TRV=(2x+10)\°`

substitute the value of x

`m<TRV=(2(60)+10)=130\°`