Question

lesson 3.2 exit ticket (calculator not allowed)
using the diagram below find the measure of the indicated angle
if m∠2 = 74°; find m∠1

Explanation:

Step1: Recall angle - pair relationship

Angles ∠1 and ∠2 are a linear - pair of angles.

Step2: Use linear - pair property

The sum of the measures of a linear - pair of angles is 180°. So, \(m\angle1 + m\angle2=180^{\circ}\).

Step3: Substitute the given value

Given \(m\angle2 = 74^{\circ}\), then \(m\angle1=180^{\circ}-m\angle2\).

Step4: Calculate the measure of ∠1

\(m\angle1 = 180 - 74=106^{\circ}\)

Answer:

\(106^{\circ}\)