Answer:
Option (3). 72°
Step-by-step explanation:
Angle of rotational symmetry = Central angle of a polygon
That means when we rotate the regular polygon by a central angle, polygon overlaps itself.
Central angle of a polygon with n sides = [tex]\frac{360}{n}[/tex]
Where n = number of sides of the polygon
Therefore, central angle of a polygon with 15 sides = [tex]\frac{360}{15}[/tex]
= 24°
Central angle tells us that after every 24° of rotation, polygon overlaps itself.
Angle of rotational symmetry may be 48°, 72°, 96°.....
Therefore, Option (3) is the possible angle of rotational symmetry.
