Is it possible for a $△ P Q R$ that $∠ P = 60 °, ∠ Q = 60 °$ and $∠ R = 40 °$ . Why?

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Solution

According to the angle sum property of the triangle , sum of all the angles of a triangle is equal to $180 °$ .
If we add all the angles of the triangle $P Q R$ i.e, $60 ° + 60 ° + 40 ° = 160 °$
We get $160 °$ as the sum of all the angles of a triangle which is not possible .
Hence, $△ P Q R$ is not possible with the given data.

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