$A$, $B$, $C$, $D$ and $E$ are on the circle. $AC$ and $BD$ meet at $X$. Angle $ACD=55^{\circ}$ and angle $CXD=88^{\circ}$.
(a)[6]
Complete the statements, giving a geometrical reason for each one. Angle $CDB = \ldots$ because \ldots . Angle $ABD = \ldots$ because \ldots . Angle $AED = \ldots$ because \ldots .
(b(i))[2]
Calculate the length of $CX$.
(b(ii))[1]
Complete the statement. Area of triangle $CXD$ : area of triangle $BXA = \ldots : \ldots$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “37; angles in a triangle add to 180” …