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In the given figure, ray OD stands on a straight line AOB. Ray OE and ray OC are the bisectors of ∠AOD and ∠BOD respectively. Then the measure of ∠COE is.

Option: 1

45°


Option: 2

30°


Option: 3

60°


Option: 4

90°


Answers (1)

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Since AOB is a straight line and the ray OC stands on it

\begin{aligned} &\therefore \quad \angle A O D+\angle B O D=180^{\circ}\\ &\Rightarrow \quad \frac{1}{2} \angle A O D+\frac{1}{2} \angle B O D=90^{\circ}\\ &\Rightarrow \angle DOE+\angle DOC =90^{\circ} \end{aligned}

\rightarrow \angle C O E=90^{\circ}

Posted by

Rakesh

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