Question

your turn

1. the two angles are supplementary angles. if m∠1 = 45°, then what is the measure of ∠2?

angles that form a straight angle add up to 180°

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Solve for \(m\angle2\)

Given \(m\angle1 = 45^{\circ}\), then \(m\angle2=180^{\circ}-m\angle1\). Substitute \(m\angle1 = 45^{\circ}\) into the equation: \(m\angle2 = 180^{\circ}- 45^{\circ}=135^{\circ}\).

Answer:

\(135^{\circ}\)