In the diagram, $B, C, D$ and $E$ are on the circle with centre $O$. $AB$ and $AD$ touch the circle as tangents. Angle $BAD = 48\degree$. The diagram is NOT TO SCALE.
(a(i))[1]
Find the size of angle $ABD$.
(a(ii))[1]
Find the size of angle $OBD$.
(a(iii))[2]
Find the size of angle $BCD$.
(a(iv))[1]
Find the size of angle $BED$.
(b)[2]
Calculate the area for triangle $BOD$.
(c)[1]
Give a reason that shows $ABOD$ is a cyclic quadrilateral.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct value is $66^{\circ}$” …