Points P, Q and R lie on the circumference of a circle with centre $O$. The angle $POQ$ is $8x^{\circ}$, the angle $RPO$ is $x^{\circ}$ and the angle $OQR$ is $24^{\circ}$.
(a)[4]
Calculate the size of angle $PQO$.
(b)[5]
Triangle $KLM$ is similar to triangle $KNJ$. The lines $JKM$ and $NKL$ are straight lines. $\angle KLM = \angle KNJ$ and $\angle LKM = y^{\circ}$. $KL = 6\text{ cm}$, $KM = 10.5\text{ cm}$ and $KN = 10\text{ cm}$. The area of triangle $JKN$ is $75\text{ cm}^2$. Calculate $y$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “58^\circ” …