Question

Angle inscribed in a semicircle is always .

• A. ${30}^{\circ }$
• B. ${90}^{\circ }$
• C. ${45}^{\circ }$

Answer 1

The correct option is B ${90}^{\circ }$

Since $\angle AOB={180}^{\circ }$ and since the angle subtended by an arc at the centre of a circle is double the angle subtended by it at any remanining point of the circle,
$x=\frac{\angle AOB}{2}=\frac{{180}^{\circ }}{2}={90}^{\circ }.$