1.

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

Answer» 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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