Prove that the inscribed angle of 45 degrees rests on an arc equal to a quarter of a circle.

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.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.