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In the adjoining figure, O is the centre...

In the adjoining figure, O is the centre of the circle. AB and CD are equal chords.
If `/_AOB =100^(@)`, then find `/_CED`.

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Equal chords subtend equal angles at the centre of the circle.
`/_ AOB=100^(@)`
`implies /_DOC =100^(@)`
(Angle subtended by an arc at the centre of the circle is twice the angle subtended by it anywhere in the remaining part of the circle )
`:. /_CED =(1)/(2)(100^(@))=50^(@)`
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