Question

11 fill in the blank 1 point lines a and b are parallel lines cut by a transversal. if the ( m angle 5 ) is ( 63^{circ} ), find the measure of ( angle 3 ). ( m angle 3= ) type your answer... degrees

Explanation:

Step1: Identify the relationship between ∠5 and ∠3

Since lines A and B are parallel and cut by a transversal, ∠5 and ∠3 are alternate - interior angles.

Step2: Use the alternate - interior angles theorem

The alternate - interior angles theorem states that if two parallel lines are cut by a transversal, then alternate - interior angles are congruent. So \(m\angle3=m\angle5\).

Answer:

\(63\)