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How do you work out an interior angle on a polygon?

Anonymous

∙ 15y ago

Updated: 12/14/2022

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.

Wiki User

∙ 15y ago

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What is the Definition an interior angle of a polygon?

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.

What type of an interior angle of a polygon and its adjacent exterior angle are complementary?

The interior angle of a polygon and its adjacent exterior angle can never be complementary.

How do you work out the exterior and interior angles of a regular polygon with W 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)

What is the interior angle of a twenty-four-sided polygon?

If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.

The supplement of an exterior angle of a polygon is the?

interior angle

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