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MathNet 2015-part-03 — 191 problems (EN–VI) Question 66

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 66

Let $ABC$ be an equilateral triangle, and let $D$ be a point on $AB$ between $A$ and $B$. Next, let $E$ be a point on $AC$ with $DE$ parallel to $BC$. Further, let $F$ be the midpoint of $CD$ and $G$ the circumcentre of triangle $ADE$. Determine the interior angles of triangle $BFG$.