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 what are the two lines and the transversal that form the pair? a. lines b and e with transversal c b. lines b and c with transversal e c. lines a and b with transversal d d. lines a and d with transversal c

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the two lines and the transversal.

Step2: Analyze each option for corresponding - angles

• Option A: ∠6 and ∠8 are vertical angles.
• Option B: ∠3 and ∠7 are corresponding angles. They are in the same relative position with respect to the two lines cut by a transversal.
• Option C: ∠2 and ∠3 are non - related in terms of corresponding, alternate, or same - side angles.
• Option D: ∠6 and ∠7 are non - related in terms of corresponding, alternate, or same - side angles.

Step3: Identify lines and transversal for ∠3 and ∠7

The two lines are lines b and e, and the transversal is c.

Answer:

First part: B. ∠3 and ∠7
Second part: A. lines b and e with transversal c