Isaac draws a regular octagon and rotates it about its center.

Which angle measures can Isaac rotate the regular octagon through to map it onto itself?

Select each correct answer.

30°

45°

90°

120°

135°

180°

The sum of angles in a regular octagon is

180 * (8 - 2) = 1080°.

Each angle of the octagon is 1080/8 = 135°.

There are 8 equal central angles to each vertex.

Each central angle is 360/8 = 45°

Answer:

Therefore the octagon will map onto itself if it is rotated by its center through these angles:

45°

90°

135°

180°