$ABD$ forms a triangle. $C$ lies on $BD$, and $E$ lies on $AD$. $AB$ runs parallel to $EC$, and $CD = DE$.
(a)[4]
Find the values of $x$ and $y$.
(b)[6]
$PQR$ is a triangle. $P$ and $R$ lie on a circle with centre $O$. $O$ lies on $PQ$. $QR$ is tangent to the circle at $R$. $QR = 12\text{ cm}$ and angle $RPQ = 35^\circ$. Calculate the area enclosed by triangle $PQR$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$x = 98$, $y = 72$” …