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2024 InIMC keystage3-IWYMIC individual Question 4

xIMC · 2024 InIMC keystage3-IWYMIC individual

Question 4

In the diagram below, $ABC$ is an isosceles triangle with $AB=AC$ and $\angle BAC=80^\circ$. The points $D$ and $K$ are on $BC$ and $AC$, respectively, such that $\angle CAD=\angle ABK=30^\circ$. What is the measure, in degrees, of $\angle BKD$?

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