Question

What is the angle of rotation symmetry for a shape that has rotational symmetry of order $5$?

• A. ${144}^{\circ }$
• B. ${36}^{\circ }$
• C. ${72}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is C ${72}^{\circ }$

A pentagon has rotational symmetry of order $5$.

Let $\theta$ be the measure of each angle in pentagon.

$\Rightarrow \theta =\frac{{360}^{\circ }}{5}={72}^{\circ }$

Thus option (C) is correct