Question

12.The angles of a quadrilateral are in the ratio 1:2:4:5. Find all the angles of the quadrilateral.​

Answer 1

Answer:

let the angles of a quadrilateral be 1x, 2x, 4x,5x

Sum of all the angles of a quadrilateral is 360°

so 1x + 2x + 4x + 5x = 360

12x = 360

x = 360 ÷ 12

x = 30

So the angles are 1x = 1×30 = 30 °

2x = 2×30 = 60°

4x = 4×30 = 120 °

5x = 5×30 = 150°