Question

find the angles of a quadrilateral if they are in the ratio 4:6:5:9​

Answer 1

let the angles be 4x, 6x, 5x and 9x.

4x+6x+5x+9x = 360°

24x = 360°

x = 360°/24

x = 15°

4x = 4×15° = 60°

6x = 6×15° = 90°

5x = 5×15° = 75°

9x = 9×15° = 135°

Hope it helps uh :)

Answer 2

We know quadrilateral's = 360°

→ Let 4x + 6x + 5x + 9x = 24x

→ 360 ÷ 24 = 15°

→ x = 15°

So substitute place of x = 15°

→ Angle 1 = 4 × 15 = 60°

→ Angle 2 = 6 × 15 = 90°

→ Angle 3 = 5 × 15 = 75°

→ Angle 4 = 9 × 15 = 135°