Question

A figure has a rotational symmetry of order more than 1, the angle of rotation can be

• A. ${21}^o$
• B. ${22}^o$
• C. ${23}^o$
• D. ${24}^o$

Answer 1

The correct option is D ${24}^o$

It is known that, if angle of rotation is a factor of ${360}^o$, then the figure has a rotational symmetry of order more than $1$.

So, among the four options given,

A) $\frac{360}{21}$

B) $\frac{360}{22}$

C) $\frac{360}{23}$

D) $\frac{360}{24}$

Only $24$ is a factor of $360$ degrees.

Then, the only option which can be suitable for angle of rotation is ${24}^o$