Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

In △ABC, if the ratio of angles is in the proportion 3 : 5 : 4, then the difference between the biggest and the smallest angles (in degrees) is:

Options:

20°

25°

30°

35°

Correct Answer:

35°

Explanation:

Total sum of angles in a triangle = 180°

Here, the proportion of angles = 3 : 5 : 4

Thus, 12r = 180°

            r = 15

Biggest angle = 5r = 5 x 15 = 75°

Smallest angle = 3r = 3 x 15 = 45°

Difference between them = 75 - 45 = 30°