In a circle with center O AC and BD are diameters. the central angle AOD is 38. Find the inscribed angle ACB.
| July 6, 2021 | education
Since the central angle AOD and the central angle AOB are adjacent angles, the angle AOB is 180 ° – 38 ° = 142 °.
The central angle AOB rests on the arc AB. The sought angle ACB also rests on the arc AB.
The inscribed angle is equal to half of the central angle resting on the same arc.
This means that the angle ACB is 142 °: 2 = 71 °.
Answer: the ACB angle is 71 °.
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