Circle Theorems

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A geometric diagram showing a circle with center O. A horizontal line AEB is tangent to the circle at point E. Points C and D are on the circle. Line segments EC, ED, and OD are drawn. A line segment CD is also drawn. There are single tick marks on segments CD and DE, indicating they are equal in length. The angle AEC is labeled as x degrees.

$C$ , $D\,$ and $E\,$ are points on a circle, centre $O$ . $AEB\,$ is a tangent to the circle at $E$ .

$C D = D E$ Angle $x^\circ$

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

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Circle Theorems Questions

Practise OCR GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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.