Provide two different degrees of rotation less than 150° but greater than 0° that will turn a regular pentagon onto itself.(1 point)

Question

A regular pentagon will turn onto itself after a ° and ° rotation.

Answer 1

A regular pentagon can be rotated onto itself by angles that are multiples of 72°, since a full rotation of 360° divided by the 5 sides of the pentagon equals 72° (360° / 5 = 72°).

To find two different degrees of rotation less than 150° but greater than 0° that will turn the pentagon onto itself, we can take the multiples of 72°:

1. 72° (1 × 72°)
2. 144° (2 × 72°)

Thus, a regular pentagon will turn onto itself after a 72° and 144° rotation.