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

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Regular Polygons Lesson 7.4: Recognize regular polygons.

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Presentation transcript:

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 n

Find m<1 in the figure below 1 m<1 = 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

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

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

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

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

Given the stop sign shown, is  NTE scalene, isosceles, equilateral or undetermined? OI N T S EU Q isosceles