201,433 views
0 votes
0 votes
Find the measure of ∠2.

Find the measure of ∠2.-example-1
User Pete Skelly
by
2.7k points

1 Answer

13 votes
13 votes

9514 1404 393

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 Pang Ho Ming
by
2.6k points