A heptagon is a polygon with seven sides and seven vertices, each of which can be of equal length. The sides meet at the vertices t and have a sum of interior angles equal to 900 degrees and exterior angles equal to 360 degrees. In a regular heptagon, the sum of interior angles is 900 degrees and the sum of exterior angles is 360 degrees.
The central angle of a regular heptagon measures about 51.43°. To find the exterior angle of a regular heptagon, use the formula 180-interior angle, where the exterior angle forms a linear pair with the interior angle. In a regular polygon, each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case, each exterior angle is equal to 45 degrees.
There are two main types of heptagons: regular and irregular. A regular heptagon has seven congruent sides (sides of equal length) and seven congruent interior angles (each measuring 128.571°). Each exterior angle is equal to 45 degrees.
To find the measure of each exterior angle of a regular heptagon, use the fact that the exterior angle forms a linear pair with the interior angle. The required measure of each exterior angle for a regular heptagon is 51.4°.
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