Question

if the measure of ∠1 is 68°, what is the measure of ∠5?

Explanation:

Step1: Find the measure of ∠3

Since ∠1 and ∠3 are vertical angles, they are equal. So, ∠3 = ∠1 = 68°.

Step2: Find the measure of ∠5

Since lines \(s\) and \(t\) are parallel and \(r\) is a transversal, ∠3 and ∠5 are alternate interior angles. Alternate interior angles are equal. So, ∠5 = ∠3 = 68°.

Answer:

68°