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Find the measure of ∠2.

Find the measure of ∠2.-example-1

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Answer:

(a) 103°

Explanation:

The trapezoid is isosceles, so left-side angles are congruent to right-side angles. That is, ∠2≅∠3.

Each side of the trapezoid is a transversal between two parallel lines. The interior angles of the trapezoid are "consecutive interior angles", so are supplementary.

∠2 = ∠3 = 180° -77° = 103°

User Pedram Marandi
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