MathNet 2017-part-05 — 176 problems (EN–VI) Question 87

Let $ABC$ and $ADC$ be isosceles right triangles with $AB = BC = CD = DA$ and $B \neq D$. Consider $E \in (CD)$ and $F \in AD$ such that $EC = AF$ and $A \in (DF)$. Denote $\{G\} = EF \cap AC$. Find the measures of the angles in triangle $EGB$.

Sorin Peligrad