Question

this image shows two parallel lines cut by a transversal. if the measure of angle 8 equals 112 degrees, what is the measure of angle 3?

Explanation:

Step1: Identify angle - pair relationship

Angle 8 and angle 5 are vertical angles, so $\angle8=\angle5 = 112^{\circ}$.

Step2: Use the property of corresponding angles

Angle 5 and angle 3 are corresponding angles. Since the two lines are parallel, corresponding angles are equal. So $\angle3=\angle5$.

Answer:

$112^{\circ}$