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 1 m<1 = 360 5 m<1 = 72  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 n 18n = 360 n = 20 sides Plug in 18 for E Multiply both sides by n 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? OI N T S EU Q isosceles