Question

1. which pair of angles is an example of supplementary angles?

a. angle 1 and angle 7
b. angle 3 and angle 6
c. angle 2 and angle 7
d. angle 1 and angle 4

Explanation:

Step1: Recall supplementary - angles definition

Supplementary angles are two angles whose sum is 180 degrees. In a linear - pair (two adjacent angles that form a straight line), the angles are supplementary. Also, in parallel - line and transversal scenarios, certain angle pairs can be supplementary.

Step2: Analyze each option

In a standard parallel - line and transversal setup, angle 1 and angle 4 form a linear pair. A linear pair of angles is supplementary since they form a straight line and the measure of a straight - line angle is 180 degrees.

Answer:

D. Angle 1 and Angle 4