Question

in the square below, ( mangle pgq = (-3x)^circ ). find ( x ).

Explanation:

Step1: Recall square's angle property

In a square, the diagonal bisects the right angle (90°) into two 45° angles. So, \( m\angle PGQ = 45^\circ \).

Step2: Set up equation

We know \( m\angle PGQ = (-3x)^\circ \), so set \( -3x = 45 \).

Step3: Solve for x

Divide both sides by -3: \( x=\frac{45}{-3}=-15 \).

Answer:

\( x = -15 \)