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MathNet 2014 Question 82

Math Olympiad Vault · MathNet 2014

Question 82

Trapezoid $ABCD$ has right angles at $C$ and $D$, and $AD \gt BC$. Let $E$ and $F$ be the points on $AD$ and $AB$, respectively, such that $\angle BED$ and $\angle DFA$ are right angles. Let $G$ be the point of intersection of segments $BE$ and $DF$. If $\angle CED = 58^\circ$ and $\angle FDE = 41^\circ$, what is $\angle GAB$?

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