An Angle from Equal Segments

Problem

figure

In △ABC\triangle ABC, AB=ACAB = AC. Extend ABAB to DD and extend CACA to EE, and connect DEDE, so that AD=BC=CE=DEAD = BC = CE = DE. Find ∠BAC\angle BAC.

Answer

Solution

Difficulty7/10
Topicsplane geometry, Trigonometric Identities, Triangle Geometry

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