Question

angle stv is a straight angle.
the measure of angle wtv is 65°.
the measure of angle stw is x°.
what is the value of x?
x =

Explanation:

Step1: Recall straight angle property

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

Step2: Use angle sum for \(\angle STV\)

\(\angle STV=\angle STW+\angle WTV\). Substitute \(\angle STV = 180^\circ\), \(\angle WTV = 65^\circ\) and \(\angle STW=x^\circ\).
We get \(x + 65=180\).

Step3: Solve for \(x\)

Subtract \(65\) from both sides: \(x=180 - 65\).
Calculate \(180-65 = 115\).

Answer:

\(x = 115\)