In a circle centered O AC and BD are diameters. The center angle AOD is 142 degrees. Find the inscribed angle ACB.
| March 31, 2021 | education
Angle AOB adjacent to angle AOD.
Since the sum of adjacent angles is 180, the angle AOB = (180 – 142) = 38.
The central angle AOB rests on the arc AB as well as the inscribed angle ACB, then the angle ACB = AOB / 2 = 38/2 = 19.
Answer: The value of the inscribed angle ACB is 19.
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