Question

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

Answer 1

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

Sum of all the angles of the quadrilateral = 360°

Therefore,

3x + 5x + 9x + 13x = 360°

=) 30x = 360°

=) x = 360°/30

=) x = 12

So, the angles are

3x = 3×12 = 36°

5x = 5×12 = 60°

9x = 9× 12 = 108°

13x = 13×12 = 156°

Answer 2

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Given:

• Ratio of angles (Quadrilateral) = 3:5:9:13

To Find:

• Find all angles of the Quadrilateral?

Solution:

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°

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