Question

ABCDEFGHIJ is a regular decagon. It rotates clockwise about its center to form the polygon A′B′C′D′E′F′G′H′I′J′. Match each angle of rotation to the point that A′ (the image of A) coincides with after that rotation?

Answer 1

I am not sure whether this question was complete however,

To find which angles the polygon will reflect to itself just divide the number of sides by 360

\(\large \frac{360}{\#~of~sides}\) \(\rightarrow \frac{360}{10}=> 36= 36º\)

Every 36º the decagon will rotate back to itself