In triangle ABC, angle C is 166 degrees, AD and BE are bisectors that intersect at point O. Find angle AOB.

In a triangle, the sum of the angles is 180 °.
Two angles (A and B) in the ABC triangle are: 180 ° – angle C = 180 ° – 166 ° = 14 °.
According to the condition BE and AD are bisectors, it means that in the triangle AOB there are two angles (A and B) 14 ° / 2 = 7 °
Find the degree measure of the angle AOB:
180 ° – 7 ° = 173 °.
Answer: the angle AOB is 173 °.