(a(i))[1]
Determine the value of $x$.
(a(ii))[1]
Calculate the value of $y$.
(b)[2]
Explain why $AB$ must be the diameter of the circle.
(c)[2]
Use trigonometry in order to calculate $PR$.
(d)[3]
Calculate the length of $KL$.
Mathematics 0580 · IGCSE · Circle theorems I
Circle theorems I — practice question
The diagram depicts three straight lines intersecting at a single point. The angles labelled are $25^\circ$, $98^\circ$, $x^\circ$ and $y^\circ$.