Question

what is the measure of angle trv? 20° 50° 60° 130°

Explanation:

Step1: Use the property of linear pair

Since \((2x + 10)^{\circ}\) and \((x-10)^{\circ}\) form a linear pair, their sum is \(180^{\circ}\).
So, \((2x + 10)+(x - 10)=180\).
Simplify the left - hand side: \(2x+10+x - 10=3x\).
Then \(3x = 180\), and \(x=\frac{180}{3}=60\).

Step2: Calculate the measure of \(\angle TRV\)

\(\angle TRV=(2x + 10)^{\circ}\), substitute \(x = 60\) into it.
\(\angle TRV=(2\times60+10)^{\circ}=(120 + 10)^{\circ}=130^{\circ}\)

Answer:

\(130^{\circ}\)