Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

Points A, B, C and D lie on a circle. EF touches the circle at A. AB is parallel to DC. The diagram shows angles 35^{\circ} and 60^{\circ} at A. Diagram not to scale.
(a)[2]

Find angle DCB, and give a geometrical reason.

(b)[2]

Determine angle DBC.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The angle is $120^\circ$.” …

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