Question

angle stv is a straight angle. the measure of angle stw is 130°. the measure of angle wtv is x°. what is the value of x?

Explanation:

Step1: Recall straight angle property

A straight angle measures \(180^\circ\). So, \(\angle STW + \angle WTV = 180^\circ\).

Step2: Substitute known angle

We know \(\angle STW = 130^\circ\) and \(\angle WTV = x^\circ\). So, \(130 + x = 180\).

Step3: Solve for x

Subtract 130 from both sides: \(x = 180 - 130 = 50\).

Answer:

\(50\)