In the figure, $AE$ is a tangent to the circle whose centre is $O$ and $ABC$ is a straight lin

Question

In the figure, $AE$ is a tangent to the circle whose centre is $O$ and $ABC$ is a straight line. $\angle BAE = 38{}^\circ$, $\angle BOE = 72{}^\circ$ and $\angle DCE = 40{}^\circ$. Find, stating your reasons clearly $\angle ECB$, $\angle OEC$, $\angle CED$, $\angle OBA$.

Accepted Answer

(a) $36^\circ$ (b) $16^\circ$ (c) $34^\circ$ (d) $160^\circ$

Determining Angular Values from Diameters, Chords, and Arcs

Determining Angular Values from Diameters, Chords, and Arcs

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