Question

identify a pair of corresponding angles. choose the correct answer below. a. ∠3 and ∠2 b. ∠2 and ∠7 c. ∠6 and ∠8 d. ∠3 and ∠7

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When two parallel lines are cut by a transversal, angles that are in the same 'corner - like' position are corresponding.

Step2: Analyze each option

• Option A: ∠3 and ∠2 are adjacent angles, not corresponding.
• Option B: ∠2 and ∠7 are alternate interior angles.
• Option C: ∠6 and ∠8 are adjacent angles.
• Option D: ∠3 and ∠7 are in the same relative position with respect to the transversal and the parallel lines, so they are corresponding angles.

Answer:

D. ∠3 and ∠7