Wiki User
∙ 11y agoSuppose the polygon has n sides.
Then (n - 2)*180 = 1260
So (n - 2) = 1260/180 = 7
and therefore, n = 7 + 2 = 9
Wiki User
∙ 11y agoA polygon with any number of sides can have an interior angle measuring 108 degrees.
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.
S=180n-360
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.
The sum of the measures of the exterior angles of a polygon with any number of sides is always 360 degrees.
360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.
A polygon with any number of sides can have an interior angle measuring 108 degrees.
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.
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.
It is: 360/24 = 15 sides
45 sides 360/8 = 45
S=180n-360
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
If you multiply 360 by the number of angles in the polygon and then subtract the sum of all the interior angles you will end up with the sum of all the exterior angles of the polygon.
The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.
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