Question

1. what is the measure of angle 1 in the picture below? 90 degrees 45 degrees 225 degrees 135 degrees

Explanation:

Step1: Find the measure of angle 2

Since the two horizontal lines are parallel, angle 2 and the \(135^{\circ}\) angle are supplementary. So, \(\angle2 = 180^{\circ}- 135^{\circ}=45^{\circ}\).

Step2: Find the measure of angle 1

Angle 1 and angle 2 are vertical angles. Vertical angles are equal. So, \(\angle1=\angle2 = 45^{\circ}\).

Answer:

45 degrees