The measures of the angles of a triangle are have the ratio 3:3:4. What are the measures of the angles?

Answer: 54°, 54° and 72°

Step-by-step explanation:

The sum of three angles in a triangle is 180°

i. e A + B + C = 180°

The ratio 3 : 3 : 4 represent the measure of each. So, (3 + 3 + 4 = 10)

- For 1st angle in triangle

(3 / 10) x 180° = 54°

For 2nd angle in triangle

(3 / 10) x 180° = 54°

For 3rd angle in triangle

(4 / 10) x 180° = 72°

Since the sum: 54° + 54° + 72° = 180°

Thus, the measures of the three angles are 54°, 54° and 72°