It is a regular 8 sided octagon
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Recall that the measurement of interior angle is: 180°(n - 2)/n Given that a regular polygon has 6 sides, let n = 6. Then: 180°(6 - 2) / 6 = 180° * 4 / 6 = 120° Since the total measurement of interior and exterior angles is 180°, 180° - 120° = 60°, which is the measurement of the exterior angle of the regular polygon.
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
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.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
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)