Question

identify the pair of angles ∠6 and ∠8, and the pair ∠4 and ∠7 and then select your answers from the choices. a b c d e ∠6 and ∠8 are supplementary angles; ∠4 and ∠7 are alternate interior angles.

Explanation:

Step1: Analyze ∠6 and ∠8

∠6 and ∠8 are adjacent angles on a straight - line. The sum of adjacent angles on a straight - line is 180°, so they are supplementary.

Step2: Analyze ∠4 and ∠7

∠4 and ∠7 are non - adjacent angles between two parallel lines (\(l\) and \(m\)) and are on opposite sides of the transversal \(n\), so they are alternate interior angles.

Answer:

A. ∠6 and ∠8 are supplementary angles; ∠4 and ∠7 are alternate interior angles.