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if m and n are parallel and angle 1 is 135°, what is the measure of ang…

Question

if m and n are parallel and angle 1 is 135°, what is the measure of angle 7? (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 and corresponding angles

Because lines \(M\) and \(N\) are parallel, angle 3 and angle 7 are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So, $\angle7=\angle3$.

Answer:

\(135^{\circ}\)