In triangle ABC, the heights of AK and BE intersect at point O, angle ACO = 46 degrees. Find the angle ABO.
| June 24, 2021 | education
Let’s build the CM height. The heights of the triangle intersect at one point.
Since BE is the height, the triangle COE is rectangular, then the angle COE = (90 – OCE) = 90 – 46 = 44.
Angle MOB = COE = 44 as vertical angles.
The BOM triangle is rectangular, since CM is the height, then the angle MBO = ABO = 90 – 44 = 46.
Answer: The ABO angle is 46.
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