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 at each intersection where a straight - line crosses two others. If the two lines are parallel, corresponding angles are equal.

Step2: Analyze each option

• Option A: ∠1 and ∠5 are corresponding angles as they are in the same relative position above the two lines and to the left of the transversal.
• 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 corresponding angles as they are in the same relative position above the two lines and to the right of the transversal.
• Option E: ∠4 and ∠8 are corresponding angles as they are in the same relative position below the two lines and to the right of the transversal.

Answer:

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