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What is the measure of an interior of a regular polygon with 14 sides?
Wiki User
∙ 14y ago
Two methods :_
1) The sum of the interior angles of a regular polygon is 2n - 4 right angles.
For a 14 sided polygon then (2 x 14) - 4 = 24 right angles = 24 x 90 = 2160°
Therefore each interior angle = 2160 ÷ 14 = 154.29° (2dp)
2) The external angle of a 14 sided regular polygon = 360 ÷ 14 = 25.71°
The interior angle = 180 - external angle = 180 - 25.71 = 154.29°
Wiki User
∙ 14y ago
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Describe the measure of an interior angle of a regular polygon as a function of the number of sides of the polygon verbally?
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