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2022 IIMC keystage3-IWYMIC individual Question 12

xIMC · 2022 IIMC keystage3-IWYMIC individual

Question 12

In the diagram below, triangle $ABC$ is isosceles with $AB=AC$ and $\angle A=108^\circ$. Let $M$ be a point in the interior of $ABC$ such that $\angle MAB=30^\circ$ and $\angle MBA=12^\circ$. Find the angle measure, in degrees, of $\angle MCB$.

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