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In the given figure, AMbotBCandAN is the...

In the given figure, `AMbotBCandAN` is the bisector of `angleA."If "angleABC=70^(@)andangleACB=20^(@),"find "angleMAN`.

Text Solution

Verified by Experts

The correct Answer is:
`angleMAN=25^(@)`
`anglea+angleB+angleC=180^(@)impliesangleA+70^(@)+20^(@)=180^(@)impliesangleA=90^(@)`. In `DeltaABM,angleABM+angleBMA+angleBAM=180^(@)`
`:.70^(@)+90^(@)+angleBAM=180^(@)impliesangleBAM=20^(@)`
`angleBAN=(1)/(2)angleA=45^(@)impliesangleBAM+angleMAN=45^(@)`
`impliesangleMAN=(45^(@)-20^(@))=25^(@)`
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