If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
A polygon with interior angle measures of 108 would be a pentagon
75.32Improved Answer:-It is: 157.5 degrees
1440 degrees
1440 degrees
If one interior angle is 165 degrees, find the number of sides of the polygon.
Any polygon can have an interior angle of 144 degrees. The measurement of an interior angle of a decagon is 144 degrees.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
Since interior angle+exterior angle=180 degrees We can find out the exterior angle by doing 180-140=40 degrees. To find out the number of sides we simply do 360/40=9 So the polygon has 9 sides.
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
A polygon with interior angle measures of 108 would be a pentagon
75.32Improved Answer:-It is: 157.5 degrees
Each interior angle is 162 degrees.
1440 degrees
1440 degrees
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.
It would have 6 sides.