Question

10 fill in the blank 1 point lines a and b are parallel lines cut by a transversal. if the ( m angle 7 = 115 ^ { circ } ), find the measure of ( angle 2 ). ( m angle 2 = ) type your answer... 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: Use the property of parallel lines and transversal

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

Answer:

\(115\)