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Pls help How many sides does this regular polygon have? ​

Pls help How many sides does this regular polygon have? ​-example-1
User Ansiart
by
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1 Answer

12 votes

Answer:

9

Explanation:

interior angle + exterior angle = 180°, that is

7y + 2y = 180

9y = 180 ( divide both sides by 9 )

y = 20

Then

2y = 2 × 20 = 40°

The sum of the exterior angles of a polygon = 360°

Divide the sum by 40 for number of sides (n)

n =
(360)/(40) = 9

User Pmccallum
by
4.6k points