What is the measure of angle TRV?
20°
50°
60°
130°

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]