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  • 14-02-2019
  • Mathematics
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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

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 class=

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eudora eudora
  • 12-05-2019

Answer:

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 = [tex]\frac{360}{5}=72[/tex]

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.

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