Question

1. a. the lines a and b are parallel. identify a pair of corresponding angles? a) ∠1 and ∠6 b) ∠3 and ∠8 c) ∠6 and ∠5 d) ∠5 and ∠7 b. if ∠5 measures 110°, what is the measure of ∠2?

Explanation:

Step1: Recall corresponding - angles property

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

Step2: Identify the relationship between ∠5 and ∠2

∠5 and ∠2 are corresponding angles. Given that lines A and B are parallel and cut by a transversal.

Step3: Use the congruence of corresponding angles

Since ∠5 = 110° and ∠5 and ∠2 are corresponding angles, then ∠2=110°.

Answer:

110°