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MathNet 1987 — Part 01 Question 14

Math Olympiad Vault · MathNet 1987 — Part 01

Question 14

In a triangle $ABC$ we have points $D$ and $E$ respectively on $AB$ and $AC$. We know the measurement of the angles indicated below: $\widehat{ABE}=30^\circ$, $\widehat{EBC}=50^\circ$, $\widehat{ACD}=20^\circ$ and $\widehat{DCB}=60^\circ$. Find the value of the angle $\widehat{EDC}$.