Points a, b and c lie on a circle with center o find the angle AOC if the angle ABC = 44 degrees.

The inscribed angle ABC, the degree measure of which is 44, rests on the arc AC, then the degree measure of the arc is twice the degree measure of the inscribed angle. Arc AC = 2 * 44 = 88.

The central angle AOC is also based on the arc AC, then the degree measure of the AOC angle is equal to the degree measure of the arc.

Angle AOC = 88.



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