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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. - PowerPoint PPT Presentation
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7.4 Regular Polygons7.4 Regular Polygons
Recognize regular polygons
Use formulas to find measure of an exterior angle of an equiangular polygon
Regular Polygons:Equilateral and equiangularRegular 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 = 360n
Find m<1 in the figure below
1
m<1 = 3605
m<1 = 72
T58: The measure E of each exterior angle of an equiangular polygon of n sides is given by the formula
E = 360n
Problems:
1. How many degrees in each exterior < of an equiangular heptagon?
E = 3607
= 51 3/7
2. If the exterior angle of a polygon is 18, how many sides does the polygon have?
E = 360n
18 = 360n
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.
180 - 108 = 72
Set up with correct formula:
E = 360n
solve
Remember to show your work!Remember to show your work!
72 = n
360
72n = 360
n = 5
The shape has 5 sides.
Given the stop sign shown, is NTE scalene, isosceles, equilateral or undetermined?
O I
N T
S
EU
Q
isosceles