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IMSO 2024 Mathematics – International Essay Question 13

IMSO Maths · IMSO 2024 Mathematics – International Essay

Question 13

In the diagram, $ABC$ is a right-angled triangle at $A$ and $\angle ABC=60^\circ$. On side $AC$, point $D$ is taken such that $\angle ABD=20^\circ$. On ray $BD$, point $K$ is taken such that $DK=BC$. What is the measure, in degrees, of $\angle KCB$?

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