Circle Theorems

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$A geometric diagram showing a circle with center O. A line XWY is tangent to the circle at point W. Points U and V are on the circle. Line segments WU, WV, and OV are drawn. A line segment UV is also drawn. There are single tick marks on segments UV and VW, indicating they are equal in length. The angle XWU is labeled as \theta degrees.$

$U$ , $V\,$ and $W\,$ are points on a circle, centre $O$ . $XWY\,$ is a tangent to the circle at $W$ .

$U V = V W$ Angle $\theta^\circ$

Find the size of angle $O W V$ , in terms of $θ\theta$ . 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.