Question

The angles of quadrilaterals are in tge ratio 3:5:9:13.Find all the angles of the quadrilaterals

Answer 1

let the angles of the quadrilateral in the ratio
3:5:9:13 be 3x , 5x , 9x ,and 13x

We know that sum of all angles of a quadrilateral is 360°

3x + 5x + 9x + 13x = 360°
=> 8x + 22x = 360°
=> 30x = 360°
=> x = 360°/30
=> x = 12°

Therefore,
3x = 3 × 12° = 36°
5x = 5 × 12° = 60°
9x = 9 × 12° = 108°
13x = 13 × 12°= 156°