The ratio of the measures of the angle in a triangle is 4:10:6. Find the measures of the smallest angles

36° and 54°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the parts of the ratio, 4 + 10 + 6 = 20 parts

Divide 180 by 20 to find the value of one part of the ratio

180° : 20 = 9° ← value of 1 part of the ratio

4 parts = 4 * 9° = 36°

10 parts = 10 * 9° = 90°

6 parts = 6 * 9° = 54°