In triangle ABC, angle C is 60 degrees, angle B is 82 degrees. AD, BE and CF are the heights
| May 4, 2021 | education
In triangle ABC, angle C is 60 degrees, angle B is 82 degrees. AD, BE and CF are the heights that intersect at point O. Find the angle AOF.
Let the # symbol here mean an angle.
1. Find the angle BAD from the triangle BAD:
#BAD = 180 – #ADB – #B = 180 – 90 – 82 = 8.
2. Find the angle AOF from the triangle AOF:
#AOF = 180 – #BAD – #AFO = 180 – 8 – 90 = 82.
Answer # AOF = 82.
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