Points A.B.C lie on a circle centered at O. Find the angle AOC if the arc is ABC = 70 degrees.
| April 10, 2021 | education
Angle ABC is an angle inscribed in a circle, the degree measure of which is 70 and based on the arc AC.
Then the degree measure of the arc AC is equal to two degree measures of the inscribed angle.
Arc AC = 2 * 70 = 140.
The central angle AOC also rests on the arc AC, then the degree measure of the central angle is equal to the degree measure of the arc on which it rests.
Angle AOC = 140.
Answer: The AOC angle is 140.
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