Point O is the center of the circle, angle AOB = 70 degrees. Find the angle ACB.
| March 11, 2021 | education
Angle AOB = 70 degrees is the center angle that rests on arc AB. The degree measure of the central angle is equal to the degree measure of the arc on which it rests, therefore, the degree measure of the arc AB is equal to 70 degrees.
Angle ACB is an inscribed angle that rests on arc AB. The degree measure of the inscribed angle is equal to half of the degree measure of the arc on which it rests, therefore, the degree measure of the ACB angle is 70 degrees / 2 = 35 degrees.
Answer: ACB angle = 35 degrees.
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