Is the triangle with angles $∠ X = 100 °, ∠ Y = 70 °, ∠ Z = 20 °$ possible? Give reason for your answer.

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Solution

As we know that the sum of the angles of a triangle is equal to $180 °$ .
Checking the sum of given angles:
$\Rightarrow ∠ X + ∠ Y + ∠ Z \Rightarrow 100 ° + 70 ° + 20 ° \Rightarrow 190 ° \neq 180 °$
So, the sum of the given angles is not equal to $180 °$ .
Hence, the triangle with the given angles is not possible.

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△ P Q R, ∠ P = 70^{o}

∠ R = 30^{o}

Δ P Q R, ∠ P = 70^{\circ}

∠ R = 30^{\circ}

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