Question

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

Answer 1

HERE IS YOUR ANSWER BUDDY

As you know angle sum of a quadrilateral = 360°

So, 3x + 5x + 9x + 13x = 360°

Or, 30x = 360°

Or, x = 12°

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

Answer 2

$\huge\mathbb{SOLUTION:-}$

Given:-

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

Need to find:-

• All the angles of the quadrilateral.

Explanation:-

Let the common ratio between the angles be = x.

We know that the 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°