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in this lesson were going to focus on circles and angles the first type of angle that you need to be familiar with is known as the central angle the central angle with reference to a circle has the vertex on the center of the circle so lets talk about it so lets say this is circle c and lets call this point a b and this is point c so lets say that angle acb is equal to 50 degrees what is the measure of arc a b now acb is a central angle as you can see the vertex is at the center of the circle and thats equal to 50. now the measure of the intercepted arc and the central angle are the same so arc a b is the same as the central angle theyre both equal to 50 degrees so thats the first type of angle that you need to be familiar with now the next type of angle that we need to talk about is the inscribed angle so what do you think this angle represents what is the inscribed angle so in this case the vertex is not at the center but actually on a circle so lets say this is a b and c s
