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In the given figure, AB||CD,angleBAE=65^...

In the given figure, `AB||CD,angleBAE=65^(@)andangleOEC=20^(@)."Find "angleECO`.

Text Solution

Verified by Experts

The correct Answer is:
`angleECO=45^(@)`

`angleDOE=angleBAE=65^(@)" "["corresponding"angles]`
Now, COD is a straight line.
`:.angleCOE+angleDOE=180^(@)impliesangleCOE+65^(@)=180^(@)`
`impliesangleCOE=115^(@)`
In `DeltaOCE`, we have
`115^(@)+20^(@)+angleOCE=180^(@)impliesangleOCE=45^(@)`
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