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if m∠2 = 112, what is m∠7?

Question

if m∠2 = 112, what is m∠7?

Explanation:

Step1: Identify angle - pair relationship

$\angle2$ and $\angle7$ are alternate exterior angles. When two parallel lines are cut by a transversal, alternate exterior angles are congruent.

Step2: Apply the property

Since $\angle2$ and $\angle7$ are alternate exterior angles, $m\angle7=m\angle2$.

Answer:

$112$