(a)[1]
Measure the angle $\angle ABC$.
(b)[2]
Using the diagram, construct the locus of points within triangle $ABC$ that are (i) $4\text{ cm}$ from $B$, (ii) $2\text{ cm}$ from $AC$.
(c)[1]
Point $P$ lies $4\text{ cm}$ from $B$, $2\text{ cm}$ from $AC$, and is closer to $A$ than to $C$. Mark $P$ on the diagram and determine the length of $AP$.