Question

If the angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7, then the largest angle is:
1. 40
2. 100
3. 145
4. 140

Answer 1

Correct Answer - Option 4 : 140

Given:

Ratio of the angles of a quadrilateral = 2 : 4 : 5 : 7

Concept used:

The sum of interior angles in a quadrilateral is 360°.

Calculation:

Let angles be ∠A , ∠B , ∠C and ∠D 

∠A + ∠B + ∠C + ∠D = 360°

⇒ 2x + 4x + 5x + 7x = 360°

⇒ 18x = 360°

⇒ x = 20°

So, largest angle,7x = 7 × 20° = 140°

∴ The largest angle is 140°