If angles of a triangle are in the ratio

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If angles of a triangle are in the ratio of 2 : 3 : 4, then the measure of the smallest angle is:

Options:

50°

30°

40°

20°

Correct Answer:

40°

Explanation:

Sum of all the three angles of a triangle = 180º

Angles of a triangle are in the ratio of 2 : 3 : 4

So,

( 2 + 3 + 4 )R = 180º

9R = 180º

1R = 20º

Smallest angles of triangle = 2R = 2 × 20º = 40º