Question

If the ratio of the supplementary angles is 11 : 7. Find the difference between the thrice of larger angle and twice of smallest angle.
1. 49°
2. 180°
3. 190°
4. 200°

Answer 1

Correct Answer - Option 3 : 190°

Given

Ratio of supplementary angles = 11 : 7

Concept

Sum of two supplementary angle is 180°

Calculation

Let the angles are 11x and 7x

11x + 7x = 180°

⇒ 18x = 180°

⇒ x = 10

Larger angle = 11(10)

⇒ 110°

Smaller angle = 7(10)

⇒ 70°

Required difference = 3(110) - 2(70)

⇒ 330° - 140°

⇒ 190°

∴ The difference between the thrice of largest angle and twice of smallest angle is 190°