Question

the angles of a quadrilateral are in the ratio 1: 2: 8: 9. find the measurement of its angles​

Answer 1

let the angles of quadrilateral be x ,2x, 8x, 9x.

the sum of angles of a quadrilateral is 360.

x+2x+8x+9x = 360

20x = 360

x= 360÷20

x =18

angles of quadrilateral are

x=18

2x=2×18 = 36

8x = 8×18 = 144

9x = 9×18 = 162

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Answer 2

Step-by-step explanation:

angles in ratio 1:2:8:9

let common multiple be x

x+2x+8x+9x=360

20x=360x

x=360/20

x=180

2x=2×18=36

8x=8×18=144

9x=9×18=162

angles are 18,36,144,162