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Find measure of one exterior angle in each regular polygon

Find measure of one exterior angle in each regular polygon-example-1
User Dmitry Pavlenko
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1 Answer

18 votes
18 votes

Answer:

Pentagon = 72°

Octagon = 45°

Explanation:

To solve for the measure of one exterior angle in a regular pentagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 5-2/5)

180 - (180 x 3/5)

180 - (540/5)

180 - 108

Exterior angle = 72°

To solve for the measure of one exterior angle in a regular octagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 8-2/8)

180 - (180 x 6/8)

180 - (1080/8)

180 - 135

Exterior angle = 45°

User Anthony Bishopric
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2.9k points