Question

10 fill in the blank 1 point lines a and b are parallel lines cut by a transversal. if the ( mangle7 = 115^{circ} ), find the measure of ( angle2 ). ( mangle2=) degrees

Explanation:

Step1: Find the measure of ∠5

Since ∠7 and ∠5 are vertical angles, they are equal. So, \(m\angle5 = m\angle7=115^{\circ}\)

Step2: Find the measure of ∠2

Since lines A and B are parallel and cut by a transversal, ∠2 and ∠5 are alternate - exterior angles. Alternate - exterior angles are equal when two parallel lines are cut by a transversal. So, \(m\angle2=m\angle5\)

Answer:

\(115\)