Section 3.6 – Angles in Polygons
Convex polygon – a polygon in which no part of a line segment connecting any two points on the polygon is outside the polygon
Concave polygon – a polygon that is not convex.
Convex Concave
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Polygon |
Number of Sides |
Number of Triangles |
Sum of the measures of angles |
Measure of one interior angle |
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Triangle |
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Quadrilateral |
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Pentagon |
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Hexagon |
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Octagon |
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Decagon |
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n-gon |
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The sum of the measures of all the interior angles of a polygon with n sides is
180(n – 2)
The measure of each interior angle of a regular polygon with n sides is
The sum of the measures of the exterior angles of a polygon
is 360°