Is it possible for a $△$ PQR that $∠ P = 120 °, ∠ Q = 100 ° a n d ∠ R = 40 °$ ? Why?

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Solution

If we add all the angles of $△$ PQR, we get
$120 ° + 100 ° + 40 ° = 260 °$
Now According to Angle sum property of the triangle, sum of all the angles of a triangle should measure 180° .
As for $△$ PQR, the criteria of angle sum property does not satisfy.
Therefore, $△$ PQR is not possible.

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