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Sticky Note
If each interior angle of a regular polygon is 162 , how many sides does the polygon have?
  1. 20
  2. 40
  3. 30
  4. 50
Explanation

Interior angle of a regular n-gon: (n−2)·180°/n = 162°.


Solve:

(n − 2)·180 = 162n

180n − 360 = 162n

180n − 162n = 360

18n = 360

n = 360 / 18 = 20

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