A cyclic quadrilateral EFGH EFGH\,EFGH is inscribed in a circle with centre OOO. The vertices are in the order EEE, FFF, GGG, H H\,H around the circle, and angle EOG EOG\,EOG is the central angle subtending the arc EG EG\,EG that does not contain FFF.
Angle EOG=2α∘EOG = 2\alpha^\circEOG=2α∘
Find the size of angle EHGEHGEHG, in terms of α\alphaα. Give reasons for each stage of your working.
59 exam-style questions on WJEC GCSE Maths Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.