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MathNet 2023-part-05 — 191 problems (EN–VI) Question 103

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 103

Triangle $BAD$ has $\angle BAD = 45^\circ$ and triangle $BDC$ is on its outside, so that $DC = BA$ and $\angle DCB = \angle CDA = 75^\circ$. Find the measure of $\angle ABD$.

Adrian Bud