SSC CGL 9 Aug 2015 Shift 2 Paper

Question : 146 of 200

Marks: +1, -0

The measures of two angles of a triangle are in the ratio 4 : 5. If the sum of these two measures is equal to the measure of the third angle, find the smallest angle.

10°
50°
90°
40°

Validate

Solution:

Two angles of triangle = 4x and 5x (let)
According to the question,
2(4x + 5x) = 180°
⇒ 18x = 180°
⇒ x =

{180°}/{18}

= 10°
∴ The smallest angle
= 4x = 4 × 10 = 40°

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