11 (a) Find the size of an exterior angle of a regular polygon with 18 sides.
[2]

(b)

In triangle \(A C D, B\) lies on \(A C\) and \(E\) lies on \(A D\) such that \(B E\) is parallel to \(C D\).
\(A E=5.2 \mathrm{~cm}\) and \(E D=2.6 \mathrm{~cm}\).
Calculate \(B E\).
\[
B E=..............................cm
\] [2]

(c) Two solids are mathematically similar.
The smaller solid has height \(2 \mathrm{~cm}\) and volume \(32 \mathrm{~cm}^{3}\).
The larger solid has volume \(780 \mathrm{~cm}^{3}\).
Calculate the height of the larger solid.
........................................ \(\mathrm{cm}\) [3]

(d)

\(P Q\) is parallel to \(R S, P N S\) is a straight line and \(N\) is the midpoint of \(R Q\).
Explain, giving reasons, why triangle \(P Q N\) is congruent to triangle \(S R N\).
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Find the size of an exterior angle of a regular polygon with 18 sides.

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