# Exam-Style Question on Angles

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 237. This question is similar to one that appeared on a IGCSE Extended paper in 2011. The use of a calculator is allowed.

In the diagram above, not drawn to scale, A, B and C are points on a circle, centre O. TA is a tangent to the circle at A and OBT is a straight line. AC is a diameter and angle OTA = 28°.

Calculate

(a) angle AOT

(b) angle ACB

(c) angle ABT

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If you need some help have a look at the Circle Theorems.

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