Question

The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral .

Answer 1

Answer:

let the angles be x

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

30x = 360

x = 360/30

x = 12

3x = 12× 3 = 36

5x = 5 × 12 = 60

9x = 9 × 12 = 108

13x= 13 × 12 = 144

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Answer 2

Angles of quadrilateral are 3x,5x,9x,13x.

Therefore, the sum of all angles of quadrilateral = 360°

= 3x+5x+9x+13x=360°

= 30x=360°

= x= 360°/30°

= x= 12

Therefore,angles of quadrilateral are

3x = 3×12 = 36°

5x = 5×12 = 60°

9x = 9×12 = 108°

13x = 13×12 = 156°