For any REGULAR n-sided polygon the interior angles are (180 - 360/n) degrees eg for a regular octagon, where n = 8, the calculation is 180 - 360/8 ie 180 - 45 = 135o degrees.
Chat with our AI personalities
A polygon is a closed plane figure bounded by straight sides. Since it is a closed surface, it has an interior (inside) and an exterior (outside). The interior angle of a polygon is the angle formed by two adjacent sides such that the angle is facing the interior of the polygon.
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
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)
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
interior angle