A triangle has an angle that measures 95°. The other two angles are in a ratio of 3:14. What are the measures of those two angles?

Answer: 15° and 70°

Step-by-step explanation:

The sum of angles of a triangle is 180.

One of the angle is given to be 95°, this means that the sum of the remaining two angles will be;

180 - 95 = 85°

The ratio of the two sides is given to be 3 : 14

Calculating the angles of each, the angle with the ratio 3 will be

3/17 x 85 = 15°

The angle with the ratio 14 will be

14/17 x 85 = 70°

Therefore : the measures of the two angles are : 15° and 70°