Question

1. if p||q and m∠2 = 72°, find m∠1.

Explanation:

Step1: Understand the relationship between ∠1 and ∠2

∠1 and ∠2 are adjacent angles forming a linear - pair. The sum of angles in a linear - pair is \(180^{\circ}\).

Step2: Calculate \(m\angle1\)

Using the formula \(m\angle1 + m\angle2=180^{\circ}\). Given \(m\angle2 = 72^{\circ}\), then \(m\angle1=180^{\circ}-m\angle2\).
Substitute \(m\angle2 = 72^{\circ}\) into the formula: \(m\angle1 = 180^{\circ}-72^{\circ}\).

Answer:

\(m\angle1 = 108^{\circ}\)