Question

which of these angle pairs are congruent because they are corresponding angles? a. 1 and 8 b. 1 and 6 c. 1 and 3 d. 1 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: ∠1 and ∠8 are not corresponding angles.
• Option B: ∠1 and ∠6 are not corresponding angles.
• Option C: ∠1 and ∠3 are corresponding angles. They are in the same relative position with respect to the transversal and the parallel lines.
• Option D: ∠1 and ∠2 are adjacent angles, not corresponding angles.

Answer:

C. 1 and 3