The ratio of each interior angle to each exterior angle of a regular n-sided polygon is 7:2. Find the value of n.

Thomas Vervik asked Jan 6, 2023

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29 votes

The ratio of each interior angle to each exterior angle of a regular n-sided polygon is 7:2. Find

the value of n.

Thomas Vervik asked Jan 6, 2023

2.5k points

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14 votes

Answer:

the value of n is 9

Explanation:

7:2=each interior angle/each exterior angle

7:2= (n-2)180/360

7/2=(n-2)/2

14=2n-4

2n=18

n=9

Thatdankent answered Jan 10, 2023

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