Triangle ABC is inscribed in a circle centered at point O. Find the angle ACB if AOB is 73 degrees.
| July 30, 2021 | education
The AOB angle is the center angle because its vertex is located at the center of the specified circle.
The degree measure of the arc AB is equal to the degree measure of the angle AOB and, by condition, is 73 °.
The angle ACB is considered inscribed in the circle, since point C lies on the circle.
It is known that the degree measure of the inscribed angle is equal to 1/2 of the arc measure:
<ACB = 1/2 * 73 ° = 36.5 °.
Answer: the ACB angle is 36.5 °.
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