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As before consider quadrilateral ABCD...

As before consider quadrilateral ABCD Let P . Be any point in its interior .Join P to vertices A,B,C and D . In the figure ,consider `DeltaPAB` .
From this we see `x=180^(@)-mangle2-mangle3`.
Similarly from `DeltaPBC,y=180^(@)-mangle4-mangle5`, from `DeltaPCD`
`z=180^(@)-mangle6-mangle7and` from `DeltaPDA`
`w=180^(@)-mangle8-mangle1`
Use this to find the total measure `mangle1+angle2+.......mangle8`, does it help you to arive at the result ?
Remember `anglex+angley+anglez+anglew=360^(@)`

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The correct Answer is:
quadrilateral is `360^(@)`
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