# Maths - Circle Theorems

by grahammm
Tags: circle, maths, theorems
 P: 14 Hi, I am really confused with circle theorems, attached is a diagram and I need to find out ABC and CBO. I have worked out that angle ACB is x degrees, and also know that angle OAC is equal to angle OBC. But I don't know how to work out the what either are Thanks Graham Attached Thumbnails
 P: 14 Is this something to do with opposite angles on a cyclic quadratic add up to 180?
 P: 2,218 If youcan post it on the web somewhere, we'd be able to see it before tomorrow. It has to be pre approved.
 P: 14 Maths - Circle Theorems See www.kgmm.co.uk/maths.GIF Many thanks! Graham
P: 2,218
 I am really confused with circle theorems, attached is a diagram and I need to find out ABC and CBO.
Arc ABC? Angle ABC? You didnt label this angle.

Do you know anything specific about the inscription of the triangle in the circle? I want to say that the arcs between A B and C are 120 degrees, but I can't tell if thats whatits supposed to be.
 P: 14 Find in terms of X, expressions for the angles: - ABC - CBO The points A,B, and C lie on the centre circle O.
 P: 2,218 Since AC = BC, the triangle ABC is isosceles, and angles ABC and BAC are equal. The sum of all three angles is 180. Where y is angle ABC 180 = 2y+x y = 90-x/2 Do you have the answer?

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