Question

Tick (✓) the correct answer:
The measure of each exterior angle of a regular polygon is 40°. How many sides does it have?
(a) 8
(b) 9
(c) 6
(d) 10

Answer 1

(b) 9
$$\begin{gathered} \mathrm{Each}\mathrm{exterior}\mathrm{angle}\mathrm{of}\mathrm{a}\mathrm{regular}\mathrm{n}-\mathrm{sided}\mathrm{polygon}=\frac{360}{n}=40 \\ \Rightarrow n=\frac{360}{40}=9 \end{gathered}$$