Question

1. given l || m and a || b, determine which pairs of angles are congruent. a. ∠2 and ∠7 b. ∠14 and ∠9 c. ∠12 and ∠13 d. ∠9 and ∠7

Explanation:

Step1: Recall corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• Option A: ∠2 and ∠7 are not corresponding angles.
• Option B: ∠14 and ∠9 are corresponding angles. When l || m and a || b, ∠14 and ∠9 are in the same relative position with respect to the parallel - lines and the transversals.
• Option C: ∠12 and ∠13 are adjacent angles, not corresponding angles.
• Option D: ∠9 and ∠7 are not corresponding angles.

Answer:

B. ∠14 and ∠9