Question

note: figure is not drawn to scale.
lines mn and gh are parallel. if the measure of angle 6 is 45°, what is measure of angle 4?
a. 50°
b. 115°
c. 55°
d. 45°

Explanation:

Step1: Identify vertical angles

Angle 6 and angle 8 are vertical angles, so $\angle6 = \angle8 = 45^\circ$.

Step2: Use parallel line property

MN || GH, so angle 4 and angle 8 are corresponding angles. Thus, $\angle4 = \angle8 = 45^\circ$.

Answer:

D. 45°