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MathNet 2011 Question 38

Math Olympiad Vault · MathNet 2011

Question 38

In a parallelogram $ABCD$ $\angle ABC = 105^\circ$. It is known that inside this parallelogram there is a point $M$, such that the triangle $BMC$ is equilateral and $\angle CMD = 135^\circ$. Let $K$ be a midpoint of the side $AB$. Find $\angle BKC$.

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