Question

the angle of quadrilateral are in the ratio 3:5:9:13 find all the angle of the quadrilateral ​

Answer 1

Sum of all the angles in a quadrilateral = 360°

Let the common multiple for each angle be 'x'

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360/30

x = 12°

Therefore, the angles of the quadrilateral are, 36, 60, 108, 156°

Answer 2

As you know angle sum of a quadrilateral = 360°

So, `3x + 5x + 9x + 13x = 360°`

Or, `30x = 360°`

Or, `x = 12°`

Hence, `3x = 36°`, `5x = 60°`, `9x = 108°` and `13x = 156°`