## Exam-Style Questions on Circle Theorems## Problems on Circle Theorems adapted from questions set in previous Mathematics exams. |

## 1. | GCSE Higher |

(a) Find \(x\), the size of angle ABC if B, C and D are all points on the circle to which AB is a tangent. The diagram is not drawn to scale.

(b) Give a reason for your answer

## 2. | GCSE Higher |

The diagram, not drawn to scale, shows chords joining points on the circumference of a circle. Prove that triangle ADE is similar to triangle BCE.

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