SSC CGL Model Paper 9

Question : 57 of 100

Marks: +1, -0

By decreasing 20° from each angle of a triangle the ratio of their angles are 2:3:5. Then measure for greatest angle(in radian) is

${4π}/9$
${7π}/9$
${5π}/9$
${2π}/9$

Validate

Solution:

A, B, C be the angles of the triangle
A + B + C = 180°
Get decreasing 20° from each angle, We have-
A + B + C = 120°
2x + 3x + 5x = 120°
x = 12°
Greatest angle = 5x + 20° = 80°
Radian 360° = 2π

80°=80°/360°×2π={4π}/9

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