Question

1. ∠p and ∠q are supplementary angles. if the measure of ∠q is 64°, find m∠p.

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \(180^\circ\), so \(m\angle P + m\angle Q = 180^\circ\).

Step2: Substitute \(m\angle Q = 64^\circ\)

\(m\angle P + 64^\circ = 180^\circ\).

Step3: Solve for \(m\angle P\)

Subtract \(64^\circ\) from both sides: \(m\angle P = 180^\circ - 64^\circ = 116^\circ\).

Answer:

\(116^\circ\)