Points A and B are on circle O such that arc AB is 88 degrees. A circle is constructed that passes through A, B, and O. Find the measure of arc AOB on this circle.
Let's denote a center of a smaller circle with a letter C
∠AOC = ∠CAO = 88 / 2 = 44º
∠ACO = 180 - 88 = 92º
The measure of arc AOB = 2 * 92 = 184º