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6-1 Angles of Polygons N#____ ____/____/____

6-1 Angles of Polygons N#____ ____/____/____. SLG : Students will be able to find and use the sum of the measures of the interior angles of a polygon, and find and use the sum of the measures of the exterior angles of a polygon. Polygon. Convex. Concave.

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6-1 Angles of Polygons N#____ ____/____/____

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  1. 6-1 Angles of PolygonsN#____ ____/____/____ SLG : Students will be able to find and use the sum of the measures of the interior angles of a polygon, and find and use the sum of the measures of the exterior angles of a polygon.

  2. Polygon Convex Concave

  3. Diagonal: a segment that connects any two non consecutive vertices A B D C

  4. If we draw all possible diagonals from one vertex of a convex polygon, it divides the polygon into triangles. The sum of the interior angles of a triangle always equals 180. 180 180 180 180 180 180 180 180 180 180 Interior Angle = Sum

  5. E1 What is the sum of the interior angles of a nonagon? E2 A convex polygon has an interior angle sum of 1620, how many sides does it have?

  6. Regular Polygon: a convex polygon where all the sides and angles are congruent E3 A regular polygon has an interior angle of 135 degrees. How many sides does it have?

  7. 4x 4x E4 Find the value of x. 2x+20 3x-10 3x-20 2x+10

  8. Exterior Angle of a Polygon: made of one side of a polygon and extending another side 90 72 120 90 72 108 60 108 108 90 72 60 60 120 108 72 108 90 120 72 Exterior Angle = Sum

  9. E5 Find the sum of the exterior angles of a regular convex octagon. Exterior angle sum of any convex polygon is 360

  10. If the sum is always 360, then to find one exterior angle in a regular polygon you would divide 360 by the number of sides. E6 Find the measure of one exterior angle in a regular pentagon. The sum of one exterior angle of a convex polygon is 360° ÷ n where n is the number of sides of the polygon

  11. A#____ ____/____/____ SWS 6-1

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