Question

the angle of quadrilateral is in the ratio of 3:5:9:13 find all the angle of quadrilaterals

Answer 1

Let angle be x. Sum of all angles of quadrilateral =360. 3x+5x+9x+13x=360
30x=360
x=360/3=120
3x = 120 multiply by 3=360
5x=120 multiply by 5 =600
9x=120 multiply by 9 =1080
13x=120 multiply by 13=1560

Answer 2

Answer:

Let x be the common ratio between the angles.

Sum of the interior angles of the quadrilateral = 360°

Now,

3x + 5x + 9x + 13x = 360°

⇒ 30x = 360°

⇒ x = 12°

Angles of the quadrilateral are:

3x = 3×12° = 36°

5x = 5×12° = 60°

9x = 9×12° = 108°

13x = 13×12° = 156° .