Question

One angle of a triangle measures 10°. The other two angles are in a ratio of 2:15. What are the measures of those two angles?

Answer 1

Well the measurements of a triangle adds up to 180.
So we know that one angle is 10degree.
So we can do 180-10 and that gets us 170.
They mention that they are in a ration of 2:15.
We can add that up to get 17. And divide 170 by 17. This gets us 10.
So 15*10 and 2*10 would get us the measurements of the two angles.

15:2
150degree:20degree

Answer 2

Explanation:

sum of other two angles=180-10=170°

sum of ratios=2+15=17

one angle=(2/17)×170=20°

second angle=(15/17)×170=150°