The ratio of three angles of a triangle

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The ratio of three angles of a triangle is 4 : 7 : 9. What is the measure of the greatest angle?

Options:

9°

81°

63°

36°

Correct Answer:

81°

Explanation:

Sum of all three angles of a triangle = 180°

⇒ 4x + 7x + 9x = 180°

⇒ 20x = 180°

⇒ x = 9°

⇒ The greatest angle = 9x = 81°