Question 8
The polygon below is formed by three isosceles triangles EFC, EAC and BAC. Given that AG is the angle bisector at A and ∠FEC = 50°, ∠ABC = 90°. Find the measure of angle ∠GAC?

Editorial clarification of the drawing: EF = EC, EA = EC, BA = BC; F,C,B are collinear and AG bisects ∠EAC.

Editorial clarification of the drawing: EF = EC, EA = EC, BA = BC; F,C,B are collinear and AG bisects ∠EAC.