It is possible to construct a quadrilateral ABCD in which AB=5cm,BC=7.5cm, $∠ A = 80^{\circ}, ∠ B = 140^{\circ}, ∠ C = 145^{\circ}$ ?

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Solution

Not possible because sum of angles $80^{\circ} + 140^{\circ} + 145^{\circ} = 365^{\circ} > 360^{\circ}$
Hence, cannot be a quadrilateral

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