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Geometry
Polygons
Find / Calculate / Determine
The Sum Of The Interior Angles Of A Convex Polygon
Use the formula 180(n - 2) where n = number of sides
The formula may be written as
180×(n - 2) or 180*(n - 2)
The formula may also be written as
(n - 2)180 or (n - 2)×180 or (n - 2)*180
Sum Of The Interior Angles Of A Convex Polygon With 6 Sides |
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Sum Of The Interior Angles Of A Convex Polygon With 17 Sides |
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EXAMPLE Find the sum of the interior angles of an octagon
Using sum interior angles = 180(n - 2) with octagon giving n = (8)
Sum of interior angles of an octagon
= 180(8 - 2) = 180(6) = 1080°
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