In triangle ABC CH- height AD-bisector O-intersection point of CH and AD angle BAD equals 26 degrees find angle AOC.

The sum of all the angles of a triangle is 180 °.
We know the angle HAD, the height, lowered to the side AB, forms a right angle with the side AB, so it remains to find the angle AOН. Let’s find the angle formed by the bisector AD and the height CH, AOН:
180 ° – 90 ° – 26 ° = 64 °.
The nose angle consists of two angles: AOН and AOC:
Find the angle AOC:
180 ° – 64 ° = 116 °.
ANSWER: Angle AOC = 116 °.