Someone pls help me with parts a and b!!

Part a)  45 degrees

Part b)   The image looks the same as the original, the vertices rotate around point M in three steps of 45 degrees each (see attached image)

Step-by-step explanation:

Part a)

Notice that since this is a regular figure with 8 sides, in order to find the angle subtended by each, we divide 360 degrees into 8 parts, and that gives us a measure of : 360 / 8 = 45 degrees

So each angle measures 45 degrees, and also the requested angle AMB

m AMB = 45 degrees.

Part b)

Notice that a rotation of 135 degrees is equivalent to 3 rotations of 45 degrees, since  45 x 3 = 135

Then as we rotate the image around the center M in 3 chunks of 45 degrees, we are going to end up in a figure that looks exactly like the original one, but the only thing is that we see the names of the vertex in different positions. Vertex A goes now to where vertex F was. Vertex B goes to where vertex G was, etc.  Please see attached imagewhere the new vertex are denoted in red.