Track / Stage 4 / 165 of 340 #425 of 1964

Problem 425

AMC 12 late, AIME early

Geometry Difficulty 4.8 Find the answer

54. 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. Spacing and $ signs are ignored.

Official solution

answer: 12

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.