Interior angle = 156 degrees so exterior angle = 180 - 156 = 24 degrees.
Then number of sides = 360 / 24 = 15.
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
8 and it is called a regular octagon
Each exterior angle measures 36 degrees
If it's a regular polygon: 360/number of sides = each exterior angle
Each exterior angle measures 11.5 degrees. Each interior angle measures 168.75 degrees
50
A regular polygon
1260
20
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
1440 degrees
1440 degrees
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
5 sides and it is a regular pentagon
1800 degrees
The sum of the exterior angles of a regular polygon = 360° If an exterior angle measures 8° then the number of sides = 360/8 = 45