Question

The ratio of angle in quadrilateral is 1:3:7:9,find the measurement of each angle.

Answer 1

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HERE'S THE ANSWER.....

Given ratio: 1:3:7:9

let 1st angle be x°

2nd angle = 3x°

3rd angle = 7x°

4th angle= 9x°

We know that sum of all the angles of a quadrilateral = 360°

a/q
x + 3x + 7x + 9x = 360
=> 20x = 360
=> x = 18

hence,

1st angle = 18°
2nd angle = 54°
3rd angle = 126°
4th angle = 162°

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Answer 2

sum of all angles in quadrilateral is 360°
Let , the 1st angle =x°,
2nd angle =3x°,
3rd angle =7x°and
4rth angle= 9x°

x+3x+7x+9x=360
20x=360
x=360/20
x=18
1st angle=18°
2nd angle=54°
3rd angle=126°
4rth angle=162°
hence the angles of quadrilateral are 18° ,54°,126°and 162°