The sum of the interior angles of a polygon is 4860 degrees. How many sides does the polygon have?

Audrey Arnold

Audrey Arnold

Answered question

2022-11-12

The sum of the interior angles of a polygon is 4860 degrees. How many sides does the polygon have?

Answer & Explanation

kuthiwenihca

kuthiwenihca

Beginner2022-11-13Added 23 answers

Step 1
A polygon with n sides can be dissected into n - 2 triangles with vertices at vertices of the polygon.
Each triangle contributes 180 to the sum of the interior angles.
So with an interior angle sum of 4860 , the given polygon must have:
4860 180 + 2 = 27 + 2 = 29

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