In ∆PQR, ∠P : ∠Q : ∠R = 1 : 3 : 5, what is the value (in degrees) of ∠R

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In ∆PQR, ∠P : ∠Q : ∠R = 1 : 3 : 5, what is the value (in degrees) of ∠R - ∠P?

A30

B80

C60

D45

Answer:

Sum of angles in a triangle is 180° angles be x, 3x and 5x x + 3x + 5x = 180 x = 20° ∠R = 5x = 100° ∠P = x = 20° ∠R - ∠P = 100 - 20 = 80°

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