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 [tex] 3:8:9 [/tex]
2. The sum of the interior angle of a triangle is [tex] 180degrees [/tex]
3. Let's say that the measure of each angle is [tex] x [/tex] multiplied by the ratio. Therefore, you can write the following equation and solve for [tex] x [/tex]:
[tex] 3x+8x+9x=180\\ x=9 [/tex]
4. Therefore, the measure of each angle is:
[tex] 3(9)=27degrees\\ 8(9)=72degrees\\ 9(9)=81degrees [/tex]
The answer is: [tex] 27degrees, 72degrees,81degrees [/tex]
