Prove that an inscribed angle of 45 degrees rests on an arc equal to a quarter of a circle.
| February 7, 2021 | education
1. Determine what degree of measure corresponds to a quarter of a circle:
360 ° / 4 = 90 °.
2. It follows from the property of the inscribed angle that its degree measure is equal to half of the degree measure of the arc on which this angle rests.
Find the arc size: 2 * 45 ° = 90 °.
90 ° = 90 °.
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