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SMO 2020 Senior Round 1 Question 12

SMO · SMO 2020 Senior Round 1

Question 12

In the figure below, the point $O$ is the center of the circle, $AD$ and $BC$ intersect at $E$, and $\angle AEB=70^\circ$, $\angle AOB=62^\circ$. Find the angle $\angle OCD$ (in degree $^\circ$).

Question illustration

Editorial note: the retained scan includes handwritten annotations. Only the printed givens transcribed above are used; a new clean checked diagram is supplied in the solution.