Question

cannot be the angle of rotational symmetry of a regular polygon.

• A. ${40}^{\circ }$
• B. ${72}^{\circ }$
• C. ${180}^{\circ }$
• D. ${120}^{\circ }$

Answer 1

The correct option is C ${180}^{\circ }$

In every regular polygon having $‘n^{\prime }$ sides, if you join the centre to the vertices, the central angle will be divided into $‘n^{\prime }$ parts such that each angle will be equal to $\frac{{360}^{\circ }}{n}.$

We know that, the minimum value of $n$ is 3 as the minimum number of sides required to make a polygon is 3.
Also, $\frac{{360}^{\circ }}{3}={120}^{\circ }.$

$\therefore$ The angle of rotational symmetry of a regular polygon will always be less than or equal to ${120}^{\circ }.$