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2. the lines that separate parking spaces are parallel. the measure of …

Question

  1. the lines that separate parking spaces are parallel. the measure of ∠1 is 60°. what is the measure of ∠2?

Explanation:

Step1: Recall parallel - line property

When two parallel lines are cut by a transversal, corresponding angles are congruent. $\angle1$ and $\angle2$ are corresponding angles formed by parallel lines (the lines separating parking spaces).

Step2: Determine the measure of $\angle2$

Since $\angle1 = 60^{\circ}$ and $\angle1\cong\angle2$ (corresponding - angles postulate), then $\angle2 = 60^{\circ}$.

Answer:

$60^{\circ}$