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: $27degrees, 72degrees,81degrees$