In the following figure, O is the centre of the circle. AB and CD are equal chords. If `angle AOB=100^@` , Find the `angle CED`.

Explanation

Equal chords subtend equal angles at the centre of the circle.
`angle =100^@`
`rArr angle DOC =100^@`
(Angle subtended by an arc at the circle is twice the angle subtended by it anywhere in the remaining part of the circle ).
`therefore angleDEC=(1)/(2)(100^@)=50^@`.