Question

The angles of a quadrilateral are in the ratio of 2:6:9:13

Find all the angles of the quadrilateral​

Answer 1

Below in bold.

Explanation:

2+6+9+13 = 30.

Now there are 360 degrees in a a quadrilateral.

So the value of the shortest angle = 2/30 * 360

= 1/15 * 360

= 24 degrees.

In the same way the value of the other 3 angles is:

6/30 * 360, 9/30 * 360 and 13/30 * 360

= 72, 108 and 156 degrees.

Answer 2

24° , 72° , 108° , 156°

Explanation:

Let the angles be 2x , 6x , 9x , 13x

We know that the sum of quadrilateral is 360°

Now,

`2x + 6x + 9x + 13x = 360`

Calculate the sum

`30x = 360`

Divide both sides of the equation by 30

`(30x)/(30) = (360)/(30)`

Calculate

`x = 12`

Replacing the value,

2x = 2 * 12 = 24°

6x = 6 * 12 = 72°

9x = 9 * 12 = 108°

13x = 13 * 12 = 156°

So, the angles are 24° , 72° , 108° , 156°

Hope this helps...

Good luck on your assignment...