If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
If one interior angle is 165 degrees, find the number of sides of the polygon.
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
180-interior angle = exterior angle 360/exterior angle = number of sides
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)