Question

In a triangle ABC, if the ratio of angles is in the proportion 3:5:4, then the difference between the biggest and the smallest angles.
1. 36°
2. 30°
3. 38°
4. 45°

Answer 1

Correct Answer - Option 2 : 30°

Given:

In a triangle ABC, if the ratio of angles is in the proportion 3:5:4.

Concept used:

Sum of the angles of a triangle = 180°

Calculation:

Let the angles of a triangle be 3y, 5y and 4y respectively.

⇒ 3y + 5y + 4y = 180°

⇒ 12y = 180°

⇒ y = 15°

The Angles of a triangle will be 45°, 75°, and 60°.

∴ The difference between the biggest and the smallest angles is 30°.