Question

identify a pair of corresponding angles in the diagram. name the two lines and the transversal that form the pair. which of the following is a pair of corresponding angles? a. ∠6 and ∠8 b. ∠3 and ∠7 c. ∠2 and ∠3 d. ∠6 and ∠7

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the two lines and the transversal. They are on the same side of the transversal and on the same - side of the two lines.

Step2: Analyze each option

• Option A: ∠6 and ∠8 are vertical angles.
• Option B: ∠3 and ∠7 are corresponding angles. They are on the same side of the transversal (line a) and on the same - side of the two lines (lines d and e).
• Option C: ∠2 and ∠3 are neither vertical, corresponding, alternate - interior, nor alternate - exterior angles.
• Option D: ∠6 and ∠7 are neither vertical, corresponding, alternate - interior, nor alternate - exterior angles.

Answer:

B. ∠3 and ∠7