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SPC: Question 4

Displayed values for the following: 1. Angle GAF and angle HCF. Check boxes for the following: 1. Hint for (a): Properties of Triangle. 2. Hint for (b): Tangents to the circle from an external point. Blue dots for : 1. Forming of different triangles. Question: The diagram shows a circle which passes through F, G and H. AGB, BHC and CFA are tangents to the circle. Given that the angles of GAF and HCF are displayed, find (a) angle ABC, (b) angle AGF, and (c) angle GFH.