The interior angle is the angle formed from two sides of a nth-sided polygon. Because the polygon is regular, all angles formed from any two sides of the polygon are equal. It can be proven, but I won't attempt to, that to find the amount of sides, you use 180-[interior angle], and divide the answer by 360. In this case, 180-156=24, 360/24= 15, thus the polygon has 15 sides. One way to prove it is to imagine the polygon and divide it into isosceles triangles. But I won't go there.
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
Providing that it is a regular polygon then each interior angle will measure 160 degrees
Providing that it is a regular 38 sided polygon then each interior angle will measure: 170o31'34.74''
A regular 12 sided polygon each interior angle measures 150 degrees
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.
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
Providing thar it is a regular 15 sided polygon then each interior angle will be 156 degrees
Obtuse
It is 60 degrees.
Not possible - the smallest interior angle for a regular polygon is 60 degrees - which creates an equilateral triangle.
Providing that it is a regular polygon then each interior angle will measure 160 degrees
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.