Question

select the true statements about ∠1 and ∠2 in the figure shown. a. ∠1 and ∠2 are alternate exterior angles b. ∠1 and ∠2 are alternate interior angles c. ∠1 and ∠2 are supplementary angles

Explanation:

Step1: Recall angle - pair definitions

Alternate exterior angles are non - adjacent angles on the outside of two parallel lines and on opposite sides of the transversal. Alternate interior angles are non - adjacent angles on the inside of two parallel lines and on opposite sides of the transversal. Supplementary angles are two angles whose sum is 180 degrees.

Step2: Analyze the position of ∠1 and ∠2

In the given figure, lines m and n are parallel and line p is a transversal. ∠1 and ∠2 are non - adjacent angles on the outside of lines m and n and on opposite sides of the transversal p.

Answer:

A. ∠1 and ∠2 are alternate exterior angles