Question

The angles of a quadrilateral are in the ratio 3:4:9:13 . Find all the angles of the quadrilateral ​

Answer 1

Answer:

Let the common ratio between the angles be = x.

As they are in ratio 3 : 5 : 9 : 13, so we can assume angles be as 3x, 5x, 9x and 13x.

As we know that, the sum of the angles of a quadrilateral is 360° (Angle sum property of quadrilateral)

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360/30 = 12°

So the angles will be as follows:

3x = 3×12 = 36°

5x = 5×12 = 60°

9x = 9×12 = 108°

13x = 13×12 = 156°

Answer

Hence, the angles of quadrilateral are 36°, 60°, 108° and 156°.