Question

angle 5 is 115° and lines m and n are parallel. find the measure of angle 2. (1 point)

Explanation:

Step1: Find the measure of angle 3

Since lines \(M\) and \(N\) are parallel, angle \(5\) and angle \(3\) are congruent (alternate interior angles). So, \(\angle3 = 115^{\circ}\)

Step2: Find the measure of angle 2

Angle \(3\) and angle \(2\) are supplementary (they form a linear - pair). So, \(\angle2=180^{\circ}-\angle3\)
Substitute \(\angle3 = 115^{\circ}\) into the formula: \(\angle2 = 180^{\circ}- 115^{\circ}\)

Answer:

\(65^{\circ}\)