Question

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

Answer 1

Step-by-step explanation:

As you know angle sum of a quadrilateral = 360°

So, 3x + 5x + 9x + 13x = 360°

Or, 30x = 360°

Or, x = 12°

Hense, 3x = 36°, 5x = 60°, 9x = 108°, and 13x = 156°

Answer 2

Answer:

36°, 60° , 108° , 156°

Step-by-step explanation:

Given , Angles of quadrilateral = 3:5:9:13

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

And we know that sum of all angles of quadrilateral are 360°.......

(3x+5x+9x+13x)° = 360°

30x° = 360°

x° = 360°/30°

x° = 12°

So, 3x = 3×12° =36°

5x = 5×12°= 60°

9x = 9×12° = 108°

13x = 13×12°= 156°

Hence, all angles are 36°, 60°, 108°, and 156°.....