Question

In the given semicircle, find the angle $\angle DBE.$

• A. ${7.5}^o$
• B. ${15}^o$
• C. ${30}^o$
• D. None of the above.

Answer 1

The correct option is C ${30}^o$

The given figure is as follows:
Here, $\angle DBE$ is the angle subtended by the arc $DE$ at the centre.
Also given that the angle subtended by the arc DE at a point F is ${15}^o.$

We know, the angle subtended by an arc at the centre of a circle is double the angle subtended by the arc at any point on the circle.
$\therefore \angle DBE=2\times \angle DFE=2\times {15}^o={30}^o$