Find the measure of each interior angle of a regular polygon of 1010 sides.


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Answer:

144∘144∘

Step by Step Explanation:
  1. We know that the sum of all exterior angles of a polygon is 360∘.360∘.
  2. Each exterior angle of a regular polygon of 1010 sides =(36010)∘=36∘.=(36010)∘=36∘.
  3. Thus, each interior angle of a regular polygon of 1010 sides =180∘−36∘=144∘=180∘−36∘=144∘.

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