I don’t understand the funky case on the right. It says check the line’s end points…what end points?
How do you pick the angle that’s half the center? For example, in his flashcard he has x as the angle right above 2x in the picture, but why can it not be the other angle at point A? That angle is also inscribed?
Say,
AB is an arc on the circle. O is the centre of the circle.
C can be any point on the circle, but not on the arc AB.
The central angle theorem goes like this,
The central angle AOB will be twice the angle formed on ACB
This doesn’t work because it goes against the definition. The point C, where we have the inscribed angle cannot be on the Arc AB.
