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6.1 Angles of Polygons

6.1 Angles of Polygons. Sum of measures of Interior Angles One method to find the sum of interior angles is to triangulate the convex polygon. # of sides # of triangles Sum of angles 3 1 180 4 5 6 .

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6.1 Angles of Polygons

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  1. 6.1 Angles of Polygons

  2. Sum of measures of Interior Angles • One method to find the sum of interior angles is to triangulate the convex polygon. # of sides # of triangles Sum of angles 3 1 180 4 5 6

  3. A decorative window is designed to have the shape of a regular octagon. Find the sum of the measures of the interior angles of the octagon. • A • B • C • D A. 1440 B. 1260 C. 1080 D. 900

  4. Find the measure of each interior angle

  5. Sides of a Polygon The measure of an interior angle of a regular polygon is 135. Find the number of sides in the polygon.

  6. The measure of an interior angle of a regular polygon is 144. Find the number of sides in the polygon. • A • B • C • D A. 12 B. 9 C. 11 D. 10

  7. Interior Angles of Nonregular Polygons Find the measure of each interior angle.

  8. Find the value of x. • A • B • C • D A.x = 7.8 B.x = 22.2 C.x = 15 D.x = 10

  9. Exterior Angles Find the measures of an exterior angle and an interior angle of convex regular nonagon ABCDEFGHJ.

  10. Find the measures of an exterior angle and an interior angle of convex regular hexagon ABCDEF. • A • B • C • D A. 30; 150 B. 45; 135 C. 60; 120 D. 20; 160

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