Question

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

quadrilateral.​

Answer 1

Answer:

hope it will help you

Explanation:

sum of 4 angles of a quadrilateral is 360°

3x+5x+9x+13x=360°

30x=360°

x= 360°/30

x= 12°

now the angles

3x= 3×12°= 36°

5x=5×12°=60°

9x=9×12°=108°

13x=13×12°=156°

Answer 2

☆ Solution ☆

Given :-

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

To Find :-

• The angles of the quadrilateral.

Step-by-Step-Explaination :-

Let,

• The ratios be 3x, 5x, 9x and 13x

Now,

As we know that :-

Sum of all angle of quadrilateral = 360°

So,

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360/30

x = 12

Thus,

The value of x is 12°.

Now,

3x = 3 × 12° = 36°

5x = 5 × 12° = 60°

9x = 9 × 12° = 108°

13x = 13 × 12° = 156°

Hence,

The angles are 36°, 60°, 108° and 156°.