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state true of false angleA=90^(@),angle...

state true of false
`angleA=90^(@),angleB=70^(@),angleC=95^(@) and angleD=105^(@)` can be the vertex of cyclic quadrilateral

Text Solution

Verified by Experts

In a cyclic quadrilateral, the sum of opposite angles is` 180^(@)`.
`"Now", angleA+angleC=90^(@)+95^(@)=185^(@) ne 180^(@)`
and `angleB+angleD=70^(@)+105^(@)=175^(@) ne 180^(@)`
Here, we see that, the sum of opposite angles is not equal to `180^(@)` . So, it not a cyclic quadrilateral.
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