Question

which pairs of angles are corresponding angles? select all that apply. a. ∠1 and ∠5 b. ∠1 and ∠2 c. ∠2 and ∠8 d. ∠3 and ∠7 e. ∠4 and ∠8

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines.

Step2: Analyze each option

• Option A: ∠1 and ∠5 are in the same relative position (top - left of the intersections made by the transversal with the two lines), so they are corresponding angles.
• Option B: ∠1 and ∠2 are adjacent angles, not corresponding angles.
• Option C: ∠2 and ∠8 are not corresponding angles.
• Option D: ∠3 and ∠7 are in the same relative position (top - right of the intersections made by the transversal with the two lines), so they are corresponding angles.
• Option E: ∠4 and ∠8 are in the same relative position (bottom - right of the intersections made by the transversal with the two lines), so they are corresponding angles.

Answer:

A. ∠1 and ∠5
D. ∠3 and ∠7
E. ∠4 and ∠8