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MathNet 2019-part-04 — 184 problems (EN–VI) Question 129

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 129

The quadrilateral $ABCD$ satisfies $\angle ACD = 2 \angle CAB$, $\angle ACB = 2 \angle CAD$ and $CB = CD$.
Show that $\angle CAB = \angle CAD$.