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MathNet 2019-part-02 — 184 problems (EN–VI) Question 52

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 52

Triangle $ABC$ is isosceles with $AC = BC$. The bisector of angle $\angle CAB$ meets side $BC$ at point $D$. The difference between the measures of two interior angles of triangle $ABD$ is $40^{\circ}$. Find the possible values of the angle $\angle ACB$.

Question illustration