5.1 Angles of Polygons. Sum of interior angles of an n-gon: (n-2)180 degrees Each interior angle of a regular n-gon: (n-2)180/n degrees Sum of exterior.

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Presentation transcript:

5.1 Angles of Polygons

Sum of interior angles of an n-gon: (n-2)180 degrees Each interior angle of a regular n-gon: (n-2)180/n degrees Sum of exterior angles of an n-gon: 360 degrees Each exterior angle of a regular n-gon: 360/n degrees

Consecutive Vertices: endpoints of the same side. Diagonals: segment connecting two non-consecutive vertices. Convex – Every diagonal constructed is inside the polygon. Concave – There can be a diagonal constructed outside the polygon.

Equilateral Polygons – All sides are congruent. Equiangular Polygons – All angles are congruent. Regular Polygon – Equilateral and equiangular.

Find the measure of each interior and exterior angle of a regular dodecagon.

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Exit Ticket Find the measure of each interior angle of a 20-gon.