Question

In the given figure ${}^{\prime }{O}^{\prime }$ is the centre of the circle. If $\angle BAD={30}^o$, find the values of $x^o,y^o$ and $z^o$.

Answer 1

Angles subtended by arc on any points on circle are equal and is equal to half of angle subtended on centre.

$\Rightarrow \angle BAD=z=x=\frac{y}{2}$. (By arc BCD)

$\Rightarrow x=z={30}^o$;

$y={60}^o$.