Question

8. The angles of a quadrilateral are in the ratio 3:7:1:9. Find the measure of each
of its angles.
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Answer 1

Answer:

sum of all angles in quadrilateral is 360 degrees

3x+7x+1x+9x=360

20x=360

x=18

3x=54

7x=126

x=18

9x=162

Answer 2

Answer:

54 , 126 , 18 , 162

Step-by-step explanation:

Ratio is 3 : 7 : 1 : 9

= 3x + 7x + 1x + 9x = 360

= 20x = 360

= x = 360/20

= x = 18

3x = 18 × 3 = 54 degree

7x = 18 × 7 = 126 degree

1x = 18 × 1 = 18 degree

9x = 18 × 9 = 162 degree