Question

Use the figure to find the measure of the angle explain your reasoning.

Answer 1

1. ∠2 = 82°
2. ∠6 = 82°
3. ∠4 = 82°
4. ∠1 = 98°

Explanation:

You want to know the measures of the angles where the transversal crosses parallel lines, forming an angle of 82°.

Angles

Various theorems can be invoked to help you reach the conclusion that all acute angles in the figure, designated here with even numbers, have the same measure: 82°.

Likewise, all obtuse angles in the figure, designated with odd numbers, have the supplementary measure: 98°.

∠2 = ∠4 = ∠6 = 82°

∠1 = ∠3 = ∠5 = ∠7 = 98°

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