Question

10) The figure below is a regular octagon. What is the least number of degrees that the octagon must be rotated clockwise around the center such that A'is in the position of D?

Answer 1

From the following figure:

Because the center angle measure 45 degrees, we must rotate 3 times 45 degrees to get point D.

In other words, we must rotate

$3\cdot45=135$

that is 135 degrees clockwise.