AOE = 90 BO bisector of AOC EO bisector of BOC, find AOC.
| March 8, 2021 | education
Given: the angle AOE = 90 (degrees), BO is the bisector of the AOC angle, EO is the bisector of the BOC angle.
Find: angle AOC =? (degrees)
Solution: Angle AOE / 3 = 90/3 = 30 (degrees) – angle BOE. From this it follows that one hundred angle EOC is also equal to 30. And from this it follows that the angle BOC = 30 + 30 = 60. Since BO is a bisector, then the angle AOC = 60 + 60 = 120 (degrees)
Answer: AOC = 120
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