For the interior angle of a regular polygon to be greater than 130° then the exterior angle must be less than 50°.
The exterior angles of a regular polygon total 360°.
360/50 = 7.2 ....this needs to be rounded up to the next whole number.
Therefore a regular polygon with 8 or more sides has interior angles measuring 130° or greater.
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.
1440 degrees
1440 degrees
The polygon will have 12 equal sides and each interior angle measures 150 degrees.
It is a regular 20 sided polygon
Hint: in a regular polygon interior plus exterior = 180o, always.
hexagon
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.
1440 degrees
1440 degrees
The polygon will have 12 equal sides and each interior angle measures 150 degrees.
It is a regular 20 sided polygon
15
A four-sided regular polygon (square or rectangle) has 900 interior angles.
If it's a regular polygon then each interior angle measures 120 degrees.
360
1800 degrees