Respuesta :

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:

[tex]m<TRV=130\°[/tex]

Step-by-step explanation:

We know that  

[tex]m<TRV+m<TRS=180\°[/tex] -----> by supplementary angles

we have

[tex]m<TRV=(2x+10)\°[/tex]

[tex]m<TRS=(x-10)\°[/tex]

substitute

[tex](2x+10)+(x-10)=180\°[/tex]

[tex]3x=180\°[/tex]

[tex]x=60\°[/tex]

Find the measure of angle TRV

[tex]m<TRV=(2x+10)\°[/tex]  

substitute the value of x

[tex]m<TRV=(2(60)+10)=130\°[/tex]

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