Question

which is a pair of alternate exterior angles? ∠1&∠5 ∠4&∠6 ∠1&∠6 ∠4&∠7

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are two non - adjacent angles that lie outside two lines and on opposite sides of a transversal.

Step2: Analyze each option

For option A, ∠1 and ∠5 are corresponding angles. For option B, ∠4 and ∠6 are alternate - interior angles. For option C, ∠1 and ∠6 have no special angle relationship in this context. For option D, ∠4 and ∠7 are non - adjacent, lie outside lines r and s, and on opposite sides of transversal t, so they are alternate - exterior angles.

Answer:

D. ∠4 & ∠7