Question

If angles of quadrilateral are in the ratio 4 : 5 : 3 : 6 ; find each angle of the quadrilateral.

Answer 1

Let the angles of the quadrilateral be 4x, 5x, 3x and 6x.

∴ 4x + 5x + 3x + 6x = 360°

18x = 360°

x = `(360°)/18 = 20°`

∴ First angle = 4x = 4 × 20° = 180°

Second angle = 5x = 5 × 20° = 100°

Third angle = 3x = 3 × 20° = 60°

Fourth angle = 6x = 6 × 20° = 120°