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7.4 Regular Polygons

7.4 Regular Polygons. Recognize regular polygons Use formulas to find measure of an exterior angle of an equiangular polygon. Regular Polygons: Equilateral and equiangular. T58: The measure E of each exterior angle of an equiangular polygon of n sides is given by the formula E = 360.

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7.4 Regular Polygons

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  1. 7.4 Regular Polygons Recognize regular polygons Use formulas to find measure of an exterior angle of an equiangular polygon

  2. Regular Polygons:Equilateral and equiangular

  3. T58: The measure E of each exterior angle of an equiangular polygon of n sides is given by the formula • E = 360 n

  4. Find m<1 in the figure below m<1 = 360 5 m<1 = 72 1 T58: The measure E of each exterior angle of an equiangular polygon of n sides is given by the formula E = 360 n

  5. Problems: 1. How many degrees in each exterior < of an equiangular heptagon? E = 360 7 = 51 3/7

  6. 2. If the exterior angle of a polygon is 18, how many sides does the polygon have? E = 360 n 18 = 360 Plug in 18 for E n 18n = 360 Multiply both sides by n n = 20 sides Divide by 18

  7. 3. If each angle of a polygon is 108, how many sides does it have? First find the exterior angle. 180 - 108 = 72 Set up with correct formula: E = 360 n solve

  8. Remember to show your work! 72 = 72n = 360 n = 5 The shape has 5 sides.

  9. Given the stop sign shown, is NTE scalene, isosceles, equilateral or undetermined? O I T N isosceles S Q U E

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