Track / Stage 4 / 189 of 340 #449 of 1964

Problem 449

AMC 12 late, AIME early

Geometry Difficulty 4.8 Find the answer

As shown in the figure, $A A^{\prime}, B B^{\prime}$ are the bisectors of $\angle E A B, \angle D B C$ respectively. If $A A^{\prime}=B B^{\prime}=A B$ , then $\angle B A C=$ $\qquad$ ${ }^{\circ}$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

answer: 12

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.