## Exam-Style Question on Angles## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 117. This question is similar to one that appeared on a IGCSE Extended paper in 2014. The use of a calculator is allowed.

The diagrams are not drawn to scale

ABCDEF is a hexagon with AB parallel to ED and BC parallel to FE. GFE and GABH are straight lines. Angle CBH = 70 Calculate the values of: (a) \(p\); (b) \(q\); (c) \(t\); (d) \(x\). |
K, P, J and N are points on a circle and KN = NP. KJ is a diameter and LKM is the tangent to the circle at K. Angle LKN = 59 Find the values of: (e) \(y\); (f) \(z\). |

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Here are the Circle Theorems if you need a reminder.

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