Which is not possible for triangle PQR and why?
$∠ P = 30 °, ∠ Q = 60 °, ∠ R = 90 ° .$

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Solution

Given: $∠ P = 30^{\circ}, ∠ Q = 60^{\circ} a n d ∠ R = 90^{\circ}$
We know that, sum of all angles of triangle is 180°
$∠ P + ∠ Q + ∠ R = 180^{\circ} 30^{\circ} + 60^{\circ} + 90^{\circ} = 180^{\circ} S o, y e s t h i s t r i a n g l e i s p o s s i b l e b e c a u s e t h e s u m o f a l l t h e a n g l e s i s 180^{\circ}$
Hence, the given angles form a triangle.

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