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MathNet 2015-part-06 — 191 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 78

Let $A$, $B$, and $C$ be distinct points on a straight line with $AB = AC = 1$.
Square $ABDE$ and equilateral triangle $ACF$ are drawn on the same side of line $BC$.
Lines $EC$ and $BF$ cut in $G$.
What is the size of $\angle EGB$?

Question illustration