Prove that the inscribed angle of 45 degrees rests on an arc equal to a quarter of a circle.
July 3, 2021 | education
| 1. Based on the inscribed angle theorem, it is equal to half of the arc on which it rests.
2. Find the arc on which the angle of 45⁰ rests.
45 * 2 = 90⁰ degree measure of the arc.
3. The whole circle is 360⁰. Find the fourth part of the circle.
360⁰ / 4 = 90⁰ quarter circle.
4. 90⁰ = 90⁰ as required.
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