Circle Theorems
65
Medium
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A diagram of a circle with center O. Points A, B, and C are on the circumference. A tangent line DCE touches the circle at point C. Chords AC and BC are drawn. Angle ABC is 61 degrees, angle ACB is 73 degrees, and angle BCE is x degrees.

AAA, B B\,B and C C\,C are points on the circumference of a circle, centre OOO. DCE DCE\,DCE is a tangent to the circle.

Angle ABC=61∘ABC = 61^\circABC=61∘ Angle ACB=73∘ACB = 73^\circACB=73∘ Angle BCE=x∘BCE = x^\circBCE=x∘

Find the value of xxx.

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.

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Circle Theorems Questions

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