Respuesta :
Answer:
The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.
Step-by-step explanation:
The sum of angles at the center of the circle = The sum of angles at a point = 360°
Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°
The steps to partition a circle into three are;
1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B
2) Mark a point, C, at a distance of half the radius from the center of the circle, O, to the point, B, on the circumference, using a straight edge
3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)
4) Draw radial lines from the circle center, O, to the points D and E
5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.
