Question

identify the pair of angles ∠1 and ∠4, and the pair ∠3 and ∠6 and then select your answers from the choices. a b c d e ∠1 and ∠4 are supplementary angles; ∠3 and ∠6 are alternate interior angles.

Explanation:

Step1: Analyze ∠1 and ∠4

∠1 and ∠4 form a linear - pair. A linear - pair of angles are supplementary (sum to 180°).

Step2: Analyze ∠3 and ∠6

∠3 and ∠6 are non - adjacent angles between two parallel lines (\(\ell\) and \(m\)) and on opposite sides of the transversal \(n\), so they are alternate interior angles.

Answer:

A. ∠1 and ∠4 are supplementary angles; ∠3 and ∠6 are alternate interior angles.