Question

angle stv is a straight angle.
the measure of angle wtv is 25°.
the measure of angle stw is x°.
what is the value of x?

Explanation:

Step1: Recall straight angle property

A straight angle measures \(180^\circ\), so \(\angle STV = 180^\circ\).

Step2: Use angle addition postulate

We know \(\angle STV=\angle STW+\angle WTV\). Substituting the known values: \(180 = x + 25\).

Step3: Solve for \(x\)

Subtract \(25\) from both sides: \(x=180 - 25=155\).

Answer:

\(155\)