Points A, B, C, D and E lie on the circumference of the circle with centre $O$. $AC$ is a diameter, and $AC$ is parallel to $ED$. The lines $AC$ and $BE$ intersect at $F$. $\angle BAC$ is $52^\circ$ and $\angle CBE$ is $68^\circ$.
(a(i))[1]
Find the size of $\angle ACB$.
(a(ii))[1]
Find $\angle AEF$. Explain your reasoning.
(a(iii))[1]
Find the size of $\angle CDE$.
(a(iv))[2]
Find the size of $\angle BCD$.
(b)[3]
Work out the measure of the largest angle in the pentagon shown.
(c)[2]
The quadrilateral angles are stated correct to the nearest degree. Find the lower bound for $y$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Therefore $\angle ACB = 38^\circ$” …