Question

In the given figure O is the centre of the circle. What is the value of $\angle AEC$?

• A. ${48}^{\circ }$
• B. ${52}^{\circ }$
• C. ${64}^{\circ }$
• D. ${68}^{\circ }$

Answer 1

The correct option is D ${68}^{\circ }$

$\angle ABC=180-68={112}^{\circ }$

As $ABCE$ is a cyclic quadrilateral, $\angle AEC={180}^{\circ }-\angle ABC={180}^{\circ }-{112}^{\circ }={68}^{\circ }$