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5. if $mangle2 = 112$, what is $mangle7$? $mangle7=$

Question

  1. if $mangle2 = 112$, what is $mangle7$?

$mangle7=$

Explanation:

Step1: Identify the relationship between ∠2 and ∠7

∠2 and ∠7 are alternate exterior angles. When two parallel lines are cut by a transversal, alternate exterior angles are congruent.

Step2: Determine the measure of ∠7

Since ∠2 and ∠7 are congruent (alternate exterior angles), and \(m\angle2 = 112\), then \(m\angle7=m\angle2\).

Answer:

\(112\)