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In the figure, AB = AC and BC is procure...

In the figure, AB = AC and BC is procured to D, if `angleCDE=20^(@)` and `angleBAC=80^(@)`, then find the angle of `angleCED`.

Text Solution

Verified by Experts

The correct Answer is:
`30^(@)`

In `DeltaABC, angleA=80^(@) and AB=aC rArr angleB=angleC`.
`therefore angleB=angleC=(180^(@)-80^(@))/(2)=50^(@)`
`rArr angleACD=180^(@)-50^(@)=130^(@)`
In `DeltaECD`,
`angleCED=180^(@)-130^(@)-20^(@)=30^(@)`
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