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Geometry practice questions

Practise mixed syllabus-aligned questions for Geometry. Aligned to OCR Gcse Mathematics.

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Question 41 of 357

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The diagram shows a circle with centre O and points A, B, C on the circumference. Line XY is a tangent to the circle at point C. Angle BCX = 70° and angle AOB = 110°. Find the size of angle ACB and angle CAB. Give reasons for your answers. [Diagram: A circle with centre O. Points A, B, C are on the circumference. Line XY is tangent to the circle at C. A line segment connects O to A, O to B, O to C. A line segment connects A to B, B to C, C to A. Angle BCX is labelled 70°. Angle AOB is labelled 110°.] [5 marks]

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