princesskeliah3
princesskeliah3 princesskeliah3
  • 17-07-2021
  • Mathematics
contestada

Find measure of one exterior angle in each regular polygon

Find measure of one exterior angle in each regular polygon class=

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dulcydzantaladlink dulcydzantaladlink
  • 17-07-2021

Answer:

Pentagon = 72°

Octagon = 45°

Step-by-step 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°

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