Question

if m and n are parallel and angle 1 is 135°, what is the sum of angle 6 and angle 8? (1 point)

Explanation:

Step1: Find the measure of angle 3

Since angle 1 and angle 3 are vertical angles, they are equal. So, angle 3 = 135°.

Step2: Find the measure of angle 5

Because M and N are parallel, angle 3 and angle 5 are alternate interior angles. Thus, angle 5 = 135°.

Step3: Find the measure of angle 6

Angle 5 and angle 6 are supplementary (they form a linear pair). So, angle 6 = 180° - 135° = 45°.

Step4: Find the measure of angle 8

Angle 5 and angle 8 are vertical angles. So, angle 8 = 135°.

Step5: Calculate the sum of angle 6 and angle 8

Sum = angle 6 + angle 8 = 45° + 135° = 180°.

Answer:

180°