Question

The four angles of a quadrilateral are in the ratio of 3 : 4 : 5 : 6 the largest angle is

Answer 1

Answer:

The largest angle is 120°

Step-by-step explanation:

We have to find the largest angle in a quadrilateral whose angles are in the ratio 3 : 4 : 5 : 6

Let 3 : 4 : 5 : 6 = x

The sum of all 4 angles of a quadrilateral is = 360°

So, according to question

3x + 4x + 5x + 6x = 360

18x = 360

x = 360/18 = 20

So, 3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

6x = 6 × 20 = 120°

So, the angles are 60°, 80°, 100°, and 120°

∴ The largest angle is 120°