Question

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

Answer 1

Answer:

Below in bold.

Step-by-step 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

Answer:

24° , 72° , 108° , 156°

Step-by-step 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

$\frac{30x}{30} = \frac{360}{30}$

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...