Question

In the given figure, find the value of $x$ and $y$ where $O$ is the centre of the circle.

Answer 1

b'

Given information: $O$ is the center of the circle.

According to the central angle theorem, the angle subtended by an arc is always half of its central angle.

Let the Central angle of arc $AB$ is ${70}^{\circ }$.

$\angle ACB$ and $\angle ADB$ are subtended by the arc $AB$.

$\angle ACB=\angle ADB=\frac{{70}^{\circ }}{2}={35}^{\circ }$

$\therefore x=y={35}^{\circ }$

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