Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

The figure depicts a quadrilateral whose interior angles are marked $101^\circ$, $95^\circ$, $85^\circ$ and $79^\circ$. It is labelled NOT TO SCALE.

(main)[1]

State a geometric reason that this quadrilateral is cyclic.

Worked solution & mark scheme

This 1-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The opposite angles have a total of $180$” …