Measure of arcs on circles


I don’t know where else to turn. I’ve tried to learn this myself for my online math class and I’m struggling so hard. Can someone ELI5?

In: Mathematics

There are two key pieces of information you need.

* If a series of arcs make up a complete circle, the sum of their measures is 360° (or 2π).
* *The Inscribed Angle Theorem.* If three points A, B, and C are on a circle, then the arc between A and C has a measure twice the size of the measure of angle ABC.

With these facts, you should be able to solve the problem in just a few steps.