Find the angle of rotation about the center of the regular pentagon that maps a to b.
a.) 216 degrees
b.) 144 degrees
c.) 72 degrees

Option C. 72°

Step-by-step explanation:

Area inscribed in a regular pentagon ABCD can be divided in five triangles.

Every triangle form an equal angle at the center of this polygon.

So every angle at origin ∠BOA =

Now we can see that to rotate this pentagon in a way that A replaces B, angle of rotation will be 72° anticlockwise.

Option C. 72° is the correct option.

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves