Mathematics 0580 · IGCSE · Circle theorems II

Circle theorems II — practice question

This diagram depicts a circle with eight chords. The angles marked are $20^{\circ}$ and $72^{\circ}$ at the upper-right point on the circumference, $56^{\circ}$ at an internal intersection, $u^{\circ}$ at the lower-right point, $w^{\circ}$ at the lowest point, and $x^{\circ}$ and $v^{\circ}$ at the left point.
(main)[4]

Calculate $u$, $v$, $w$ and $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Thus, $u=20$.

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