By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon
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To find the sum of the interior angles of any polygon, you can use the formula (n-2) * 180 degrees, where n is the number of sides. For a 39-sided polygon, the sum of the interior angles would be (39-2) * 180 = 37 * 180 = 6660 degrees. Since all the interior angles of a polygon are equal, you can divide the total sum by the number of angles to find the measure of each interior angle. In this case, each interior angle of a 39-sided polygon would measure 6660 / 39 = 170.77 degrees.
Well, darling, the sum of the interior angles in any polygon can be found using the formula (n-2) * 180, where n is the number of sides. So for a 37-sided polygon, you would have a total of 6300 degrees. Divide that by 37, and you get approximately 170.27 degrees for each angle. Hope that satisfies your polygon curiosity!
Assuming it is regular, the total degrees of an n-sided polygon = 180(n-2) = 2700. 2700/17 = 158.23 degrees
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
To find the sum of the interior angles of a polygon, we can use the formula (n-2) * 180 degrees, where n is the number of sides. So, for a 36-sided polygon, the sum of the interior angles would be (36-2) * 180 = 6,480 degrees. To find the measure of each interior angle, we divide the sum by the number of sides, so each interior angle of a 36-sided polygon would measure 6,480 degrees / 36 = 180 degrees.