The circumference is divided into a part in a ratio of 3.5: 5.5: 3 totals length are interconnected.

The circumference is divided into a part in a ratio of 3.5: 5.5: 3 totals length are interconnected. Determine the angles of the resulting triangle.

1) 3.5 + 5.5 + 3 = 12 – total parts
2) The circumference is 360 degrees, that is, in one part 360 degrees: 12 = 30 degrees
3) Find the degree measures of the parts of the circle:
30grad * 3.5 = 105grad
30grad * 5.5 = 165grad
30grad * 3 = 90grad
4) Unknown angles are inscribed, which means that each angle is equal to half of the opposite circle:
105grad: 2 = 52.5grad
165grad: 2 = 82.5grad
90 degrees: 2 = 45 degrees
Answer: 52.5 degrees; 82.5 hail; 45grad