Question

complete this assessment to review what youve learned. it will not count toward your grade.
if m and n are parallel and angle 1 is 135°, what is the measure of 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, $\angle3=\angle1 = 135^{\circ}$.

Step2: Use the property of parallel lines

Since \(M\parallel N\), angle 3 and angle 7 are corresponding angles. So, $\angle7=\angle3 = 135^{\circ}$.

Step3: Find the measure of angle 8

Angle 7 and angle 8 are supplementary angles (they form a linear pair). So, $\angle7+\angle8 = 180^{\circ}$. Then $\angle8=180^{\circ}-\angle7$. Substitute $\angle7 = 135^{\circ}$, we get $\angle8=180^{\circ}- 135^{\circ}=45^{\circ}$.

Answer:

$45^{\circ}$