Question

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

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When a transversal intersects two parallel lines, corresponding angles are congruent.

Step2: Analyze each option

• Option A: ∠6 and ∠8 are vertical angles.
• Option B: ∠2 and ∠7 are alternate - interior angles.
• Option C: ∠3 and ∠7 are corresponding angles as they are in the same relative position with respect to the transversal and the parallel lines.
• Option D: ∠3 and ∠2 are adjacent angles.

Answer:

C. ∠3 and ∠7