In $∆ P Q R$ , if $∠ P = 60 °$ , and $∠ Q = 40 °$ , then the exterior angle formed by producing $Q R$ is equal to?

$60 °$

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$120 °$

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$100 °$

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$80 °$

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Solution

The correct option is C
$100 °$

Explanation for the correct option:
In a triangle, the exterior angle of the triangle is equal to the sum of opposite interior angles.
$∴$ In $∆ P Q R$
$Exterior angle = Sum of two opposite interior angles Exterior angle = (60 ° + 40 °) Exterior angle = 100 °$
Therefore, the exterior angle formed by producing $Q R$ is equal to $100 °$ .

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Similar questions

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

State the type of the following triangle:

Triangle $P Q R$ , Angle P $= 40$ °, Angle Q $= 60$ °, Angle R $= 80$ °.

Question 29

In $Δ P Q R$ , if $∠ P = 60^{\circ}$ and $∠ Q = 40^{\circ}$ , then the exterior angle formed by producing QR is equal to

a) $60^{\circ}$
b) $120^{\circ}$
c) $100^{\circ}$
d) $80^{\circ}$

Δ P Q R, Q

P Q = 3

Q R = 4

∠ P = α

∠ R = β

tan β

△ P Q R

∠ P = 30^{0}, ∠ Q = 60^{0}, ∠ R = 90^{0}

P Q = 10

P R

Q R

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