ICSE Class X Math 2016 Paper

In the given figure below, $A D$ is a diameter. $O$ is the centre of the circle. $A D$ is parallel to $B C$ and $\angle C B D=32^{\circ}$ . Find:

Question : 10 of 57

Marks: +1, -0

\angle AOB

Solution:

\angle AOB = 2 \angle ODB

(angle at the centre is twice the angle at remaining circumference)

=2 \times 32=64^{\circ}

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