Discussion
Which one of the following statements is not true ?
Answer: D
The statement that is not true is Each exterior angle of a regular octagon = 60°.
The exterior angles of any polygon add up to 360°, so each exterior angle of a regular octagon is \(360/8 = 45^{\circ}\), not 60° (60° belongs to a regular hexagon).
The other three are correct:
\[ \begin{aligned} \tfrac{12(12 - 3)}{2} &= 54 \text{ diagonals} \\ \tfrac{360}{13} &\approx 27.69^{\circ} \\ (9 - 2) \times 180^{\circ} &= 1260^{\circ} \end{aligned} \]
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