Question

find the measure of angles 1 - 7 given that lines m and n are parallel and t is transversal.

Explanation:

Step1: Identify angle - type relationship

Angle 1 and the given \(52^{\circ}\) angle are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, \(\angle1 = 52^{\circ}\).

Answer:

\(52^{\circ}\)