SOLUTION: how can i solve this question because all i get is decimals when i try:
a regular polygon has an exterior angle with a measure of 20 degrees. find the numbers of sides
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a regular polygon has an exterior angle with a measure of 20 degrees. find the numbers of sides
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Question 502196: how can i solve this question because all i get is decimals when i try:
a regular polygon has an exterior angle with a measure of 20 degrees. find the numbers of sides Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! In a regular polygon of n sides, the measure of an internal angle is given by:
An internal angle and the corresponding external angle are complementary so that if the external angle is 20 degrees then the corresponding internal angle is 180-20 = 160 degrees. Solve for n. Subtract 160n from both sides. Add 360 to both sides. Divide by 20.
The regular polygon has 18 sides.
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