Question

2
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. 55°
b. 45°
c. 115°
d. 50°

Explanation:

Step1: Find the measure of angle 5

Since angle 6 and angle 5 are vertical angles, they are equal. So, $\angle5=\angle6 = 45^{\circ}$.

Step2: Use the property of parallel lines

Because lines MN and GH are parallel, angle 4 and angle 5 are alternate interior angles. Alternate interior angles are equal. So, $\angle4=\angle5$.

Answer:

B. \(45^{\circ}\)