Find the measures of the angles of a triangle whose angles have measures in the ratio 1:2:6

20°, 40°, 120°

Step-by-step explanation:

We know that all the angles add up to 180°, that's a rule to all triangles. Let's name the first angle a. The ratio turns to a:2a:6a. We need to get the value of a. We can do this by add the a's the the ratio together and dividing that from 180. Or 180/9=a=20. This means that the angles are 20°, 40°, and 120°. To check, we know that if we add the all the angles together, we should get 180°. 20°+40°+120°=180°

We are correct! I hope that helped!