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MathNet 2017-part-02 — 176 problems (EN–VI) Question 73

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 73

Triangle $ABC$ has $AC = BC$. The bisector of angle $CAB$ meets side $BC$ at point $D$. The difference of the sizes of some two internal angles of triangle $ABD$ is $40^\circ$. Find all possibilities of what the size of angle $ACB$ can be.