Question

1. ∠1 and ∠2 form a linear pair. if the measure of ∠1 is 113°, find the measure of ∠2.

Explanation:

Step1: Recall linear - pair property

The sum of angles in a linear pair is 180°. Let the measure of ∠1 be \(m\angle1\) and the measure of ∠2 be \(m\angle2\). So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Solve for \(m\angle2\)

We know \(m\angle1 = 113^{\circ}\). Substitute into the equation: \(m\angle2=180^{\circ}-m\angle1\). Then \(m\angle2 = 180 - 113\).

Answer:

\(67^{\circ}\)