Circle Theorems

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A circle with center O. Points A, B, C, and D are on the circumference. Chords AB, BC, CD, and DA are drawn, forming a cyclic quadrilateral ABCD. Radii OB and OD are drawn, forming an angle BOD labeled x degrees.

$A$ , $B$ , $C\,$ and $D\,$ are points on the circumference of a circle, centre $O$ .

Angle $x^\circ$

Find the size of angle $B C D$ , in terms of $x$ . Give reasons for each stage of your working.

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Circle Theorems Questions

Practise Edexcel GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.