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If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
It is: 360/24 = 15 sides
360/number of sides = exterior angle
number of sides = 360/exterior angle = 360/120 = 3 polygon is therefore a triangle, interior angles total 180o
If one interior angle measures 172° then the corresponding exterior angle measures 180 - 172 = 8°. The number of sides = 360 ÷ 8 = 45.
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
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
If it's a regular polygon: 360/number of sides = each exterior angle
With a regular polygon: 360/exterior angle = number of sides
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
It is: 360/24 = 15 sides
360/8 ie 45 sides
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 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.
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
45 sides 360/8 = 45