Question

what is the measure of angle trv?
○ 20°
○ 50°
○ 60°
○ 130°
(2x + 10)°
(x - 10)°

Explanation:

Step1: Identify supplementary angles

Angles $\angle TRS$ and $\angle TRV$ are supplementary, so their sum is $180^\circ$.
$$(x-10)^\circ + (2x+10)^\circ = 180^\circ$$

Step2: Simplify and solve for $x$

Combine like terms and isolate $x$.
$$x - 10 + 2x + 10 = 180$$
$$3x = 180$$
$$x = \frac{180}{3} = 60$$

Step3: Substitute $x$ into $\angle TRV$ formula

Plug $x=60$ into $(2x+10)^\circ$.
$$2(60) + 10 = 120 + 10 = 130$$

Answer:

130°