Q. How many sides does a regular polygon have if the interior angle is 90?
Names of Regular Polygons
| Regular Polygon | Number of Sides | Interior Angles |
|---|---|---|
| Equilateral triangle | 3 sides | 3 interior angles of 60° |
| Square | 4 sides | 4 interior angles of 90° |
| Regular pentagon | 5 sides | 5 interior angles of 108° |
| Regular hexagon | 6 sides | 6 interior angles of 120° |
Q. What polygon has exterior angle of 90 degrees?
For our equilateral triangle, the exterior angle of any vertex is 120° . For a square, the exterior angle is 90° .
Q. How do you find the number of sides of a polygon when given one interior angle?
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
Q. How many sides does a regular polygon have if the measure of each interior angle is 160?
18 sides
Q. What is the measure of an interior angle of a regular polygon with 24 sides?
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.
Q. What is the measure of one interior angle for the regular polygon?
Lesson Summary A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.
Q. What is the size of the interior angle of a regular 16 sided polygon?
The regular polygon has 16 sides, 16 exterior angles and 16 interior angles. Each exterior angle = 360/16 = 22.5 deg. So each interior angle = 180–22.5 = 157.5 deg.
