Question

Which of the following cannot be possible angle(s) of rotational symmetry of a figure?

• A. ${16}^{\circ }$
• B. ${20}^{\circ }$
• C. ${24}^{\circ }$
• D. ​​​​​${22}^{\circ }$

Answer 1

Answer: (A), (D)

The correct options are
A ${16}^{\circ }$
D ​​​​​${22}^{\circ }$

We know that after a rotation of ${360}^{\circ }$, every figure comes to its original orientation. Therefore, angle of rotational symmetry of a figure should be a factor of ${360}^{\circ }.$
And since, ${16}^{\circ }$ and ${22}^{\circ }$ are not factors of ${360}^{\circ }$, they cannot be angles of rotational symmetry of a figure.