Question

the angle of quadrilateral are in the ratio 3:5:9:13 find all the angle of quadrilateral​

Answer 1

Let the angles be 3x, 5x, 9x, 13x

We know that,

Sum of all angles of a quadrilateral = 360°

Therefore,

3x+5x+9x+13x = 360°

30x = 360°

x = 360/30 = 12°

Therefore,

3x = 3 x 12° = 36°

5x = 5 x 12° = 60°

9x = 9 x 12° = 108

13x = 13 x 12° = 156°

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Answer 2

Answer:

let each angle of triangle be X degree

so angles are 3 x, 5 x, 9X, 13 x

according to angle sum property in quadrilateral

sum of all angles of quadrilateral is 360 degree

3x+5x+9x+13x=360

30x=360

x=360/30

x=12°

angles are 36°,60,108,156°