Question 137

In ΔPQR, ∠P : ∠Q : ∠R = 1 : 3 : 5. What is the value (in degrees) of ∠R - ∠P?

Solution

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Let, ∠P = 1x, ∠Q = 3x, ∠R = 5x

Sum of interior angles of a triangle = 180 degrees i.e 

∠P + ∠Q + ∠R = 180 degrees

$$\Rightarrow$$ 9x = 180 (or) x = 20

∠R - ∠P = 5x - 1x 

∠R - ∠P = 4x (or) 4 x 20 

∠R - ∠P = 80

Hence, option B is the correct answer.

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