Question

identify a pair of corresponding angles. choose the correct answer below. a. ∠3 and ∠2 b. ∠6 and ∠8 c. ∠3 and ∠7 d. ∠2 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, the angles in the same relative corner at each intersection are corresponding angles.

Step2: Analyze each option

• Option A: ∠3 and ∠2 are vertical - angles, not corresponding angles.
• Option B: ∠6 and ∠8 are vertical - angles, not corresponding angles.
• Option C: ∠3 and ∠7 are corresponding angles. They are in the same relative position with respect to the transversal and the parallel lines.
• Option D: ∠2 and ∠7 are neither vertical nor corresponding angles.

Answer:

C. ∠3 and ∠7