A ray OB is drawn inside the angle AOC so that the angle AOB is 56 degrees and the BOC is 40

A ray OB is drawn inside the angle AOC so that the angle AOB is 56 degrees and the BOC is 40 degrees. What part of the angle AOC is the angle AOB; angle BOC?

1. According to the condition of the problem, it is known that the AOC angle is divided into 2 parts: the AOB angle is 56 ° and the BOC angle = 40 °.

2. Let’s calculate how many degrees is the entire AOC:

56 ° + 40 ° = 96 °.

3. Determine what part of the entire angle falls on 56 °:

56 °: 96 ° = 56/96 = 56: 8/96: 8 = 7/12.

4. Let’s calculate the fraction of the ВOС angle from 96 °:

40 °: 96 ° = 40/96 = 40: 8/96: 8 = 5/12.

Answer: The original angle was split into parts 7/12 and 5/12.