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Mathematics 9 Online
OpenStudy (loser66):

How to show angle A = 1/2 angle O ? Please, help

OpenStudy (loser66):

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zepdrix (zepdrix):

So we have an inscribed angle, and a central angle. There must be some simple geometric way to show it.. hmmm thinking

OpenStudy (math&ing001):

Hmm when I remember this was from basic angles in a circle : CAB is an inscribed angle so <BAC = 1/2 arc(BC) and <COB is a central angle meaning <COB = arc(CB). So you get <BAC = 1/2 <COB. Unless you're trying to prove the formulas.

OpenStudy (danjs):

proof

OpenStudy (danjs):

bust out Euclid's Elements

OpenStudy (loser66):

@math&ing001 Yes, I am. I have to prove the theorem. I know how to prove it if the center is inside the inscribe angle.

OpenStudy (loser66):

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OpenStudy (math&ing001):

I see, ok let me think about it

OpenStudy (loser66):

Do you want to see the proof of this part? it may ring some bells, I think

OpenStudy (math&ing001):

OK sure =)

OpenStudy (loser66):

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OpenStudy (danjs):

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