How Do You Find the Angles in a Triangle if You Have a Ratio of Their Measures?

This ratio tells us what the measure of each angle is compared to the other angles
Add the three angles together and set them equal to 180°
Plug 15° in for x to find the angle measurements

1. Each number in the ratio represents the size of the angle in relation to the others
2. We can call the smallest angle x
3. Then we know that one of the other angles is 3 times that, and the other is 8 times that
4. So our other two angles are 3x and 8x
1. The Triangle Sum Theorem says that the three angles of a triangle always add up to 180°
2. So we can add our three angle measures and set them equal to 180° to solve for x
1. Add x, 3x and 8x to get 12x
2. Divide by 12 on both sides to solve for x
1. We need to plug 15° in for x in our original angle measurements to find our answers
1. If we add all our angle measurements together, we should get 180°

The ratio of the angles of a triangle is 1:3:8. What are the measures of each of the angles?