The figure $ACD$ forms a triangle with $\angle ADC = 110^\circ$. Also, $EB$ is parallel to $DC$, and $AE = EB$.
(a(i))[3]
Find $x$, and give a reason for each step in your working.
(a(ii))[1]
If $EB = 12\text{ cm}$ and $DC = 20\text{ cm}$, calculate $ED$.
(b)[2]
Find $a$.
(c)[4]
$P, Q, R$ and $S$ are vertices of a regular polygon. $M$ is the midpoint of $PR$. $PQ = 14\text{ cm}$ and $QM = 7\text{ cm}$. Determine how many sides the polygon has. Show your working.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\angle AEB=110$ by corresponding angles” …