ICSE Class X Math 2016 Solved 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 $∠ C B D=32^{∘}$ . Find:

Question : 10 of 57

Marks: +1, -0

∠ A O B

Solution:

∠ {\AOB}=2 ∠ {\ODB}

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

=2 × 32=64^{∘}

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