A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12 ° 45 ° 72 ° 90 °

Answer:Option (3). 72°Step-by-step explanation:Angle of rotational symmetry = Central angle of a polygonThat 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 polygonTherefore, 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.