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okay now we are going to talk about inscribed angles and polygons lets first discuss these two vocabulary words inscribed angle its an angle whose vertex is on the circle and whose sides contain chords so those are the chords they were talking about so an inscribed angle has to actually touch the vertex has to touch the circle remember before our central angles the vertices were at the center and then the other word that we need to know is intercepted arc so the arc that we that inscribed angle touches is what we call an intercepted arc so think of it if I made this really weird pie piece okay that intercepted arc is like the crust of the pie okay so lets do some examples well lets first formalize what we have discussed about inscribed angles so inscribed angles if I have one then I know that its when this measure of the angle itself is going to be half of the intercepted arc right here okay so for example if I knew that this blue arc was 100 degrees then this red arc are this re