Question

The ratio of the measures of three angles is 3:8:9. find the measure of each angle of the triangle.

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have that the ratio of the measures of the three angles is
`3:8:9`

2. The sum of the interior angle of a triangle is
`180degrees`

3. Let's say that the measure of each angle is
`x` multiplied by the ratio. Therefore, you can write the following equation and solve for
`x`:

`3x+8x+9x=180\\ x=9`

4. Therefore, the measure of each angle is:

`3(9)=27degrees\\ 8(9)=72degrees\\ 9(9)=81degrees`

The answer is:
`27degrees, 72degrees,81degrees`