Answer with explanation:
Number of sides of Regular Polygon = 15
Sum of Interior angles of Regular Polygon = (n-2)×180°
Sum of Interior angles of Regular Polygon having 15 Sides= (15-2)×180°
=13 × 180°
= 2340°
As, Each interior angle of Regular Polygon is equal.
Measure of each Interior angle
[tex]=\frac{2340}{15}\\\\=156[/tex]
=156°
Measure of each Exterior angle = 180° -156°=24°
Angle of Rotational Symmetry of Polygon having 15 Sides=24°,48°,....=24°×n, Where ,n=1,2,3,....
→→You can find exterior angle by this method also.
Sum of exterior angles of any Polygon =360°
Measure of each interior angle of Regular polygon having 15 Sides
[tex]=\frac{360}{15}\\\\=24{\text{Degree}}[/tex]
