Question

A triangle has an angle that measures 115°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?

Answer 1

One angle of a triangle is 115 degrees.
The sum of the remaining angles is therefore 180-115=65°
If they are in a ratio of 2:11, then the smaller angle is 65*(2/(2+11))=10°
the larger angle is 65*(11/(2+11))=55°.
Check: 10+55=65°=180-115°  ok.
Answer: the measures of the remaining angles are 10 and 55°