Answer:
Option (C)
Step-by-step explanation:
From the figure attached,
If we join the center of pentagon based at origin to the vertices,
Angle formed at the center of a regular polygon = [tex]\frac{360}{n}[/tex]
Where 'n' = number of sides of the polygon
Measure of angle 'a' = [tex]\frac{360}{5}[/tex]
= 72°
If point A overlaps the point A',
Angle of rotation required = 2(a)°
= 2×72°
= 144°
Therefore, point A should be rotated by 144° to overlap A'.
Option (C) will be the answer.
