Question

angle stv is a straight angle. the measure of angle wtv is 50°. the measure of angle stw is x°. what is the value of x?

Explanation:

Step1: Recall straight - angle property

A straight angle measures 180°. So, $\angle STV=180^{\circ}$.

Step2: Use angle - addition property

We know that $\angle STV=\angle STW+\angle WTV$. Given $\angle WTV = 50^{\circ}$ and $\angle STW=x^{\circ}$, we have the equation $x + 50=180$.

Step3: Solve for x

Subtract 50 from both sides of the equation: $x=180 - 50$.
$x = 130$

Answer:

130