The ratio of three angles of a triangle

CUET Preparation Today

Start Free Mocks

Home Questions 5K623QF2AP

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The ratio of three angles of a triangle is 1 : 3 : 5. Which is the measure of the greatest angle?

Options:

100°

80°

60°

120°

Correct Answer:

100°

Explanation:

We know that,

Sum of all angles = 180^°

We have,

The ratio of three angles of a triangle is 1 : 3 : 5.

x + 3x + 5x = 180^°

= 9x = 180^°

= x = 20^°

The greatest angle = 5x = 5 × 20^°= 100^°