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SMO 2015 Senior Round 1 Question 31

SMO · SMO 2015 Senior Round 1

Question 31

In the figure below, the line $BD$ is tangent to the circle at $C$. The line $AD$ passes through the centre $O$ of the circle and intersects the circle at $E$. It is given that $\angle CDE=34^\circ$ and $\angle DCE=x^\circ$. Find the value of $x$.

Question illustration