Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

A, B and C are points on a circle with centre O. DE is a tangent to the circle at C. Angle ABC = $52^\circ$ and angle BCE = $65^\circ$.

(a)[2]

Find the value of x. Give a geometrical reason that supports your answer.

(b)[2]

Find the value of y.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “104°” …