Question

Regular pentagon ABCDE rotates counterclockwise about its center to yield pentagon A'B'C'D'E'. At which angle of rotation does A' coincide with D?

A.320
B.288
C.216
D.144
E.72

Answer 1

`\left[\begin{array}{ccc}A&320\\B&288\\C&216&Correct\\D&144\\E&72\end{array}\right]`

`Point A` Will Rotate To
`PointD`

`PointT` Will Rotate To
`Point E`.

Count How Many Points They Pass Through

`\left[\begin{array}{ccc}PointA\\PointB&1\\PointC&2\\PointD\end{array}\right]`

`\left[\begin{array}{ccc}PointT\\PointA&1\\PointP&2\\PointE\end{array}\right]`

Example Below

Answer 2

The question is asking to choose among the following choices that state the angle of rotation does A' coincide with D, and base on my own calculation and further computation about the said pentagon, I would say that the answer would be E. 72. I hope you are satisfied with my answer and feel free to ask for more