Which rotation about its center will carry a regular decagon onto itself?
a. 54
b. 162
c. 198
d. 252
!

D.252

Step-by-step explanation:

In this question, We have to find which rotation about its center will carry a regular decagon onto itself?

A decagon : 10 sided polygon

As we know, a full rotation can be 360°.

For a decagon: 360/10 =36

For a decagon, any multiple of 36 can map onto itself.

In our options only 252 is the multiple of 36.

So, correct answer is option D 252