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  • 22-01-2021
  • Mathematics
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the formula of ONE INTERIOR ANGLE of a REGULAR polygon.

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  • 25-01-2021

Answer:

180° - (360/n)°, where n is the number of sides of the polygon.

Step-by-step explanation:

Polygon has n sides.

Divide the polygon radially into n congruent, isosceles triangles.

For each triangle:

 vertex angle = (360/n)°

   sum of base angles = 180° - vertex angle = 180° - (360/n)°

Each interior angle of the n-gon = 180° - (360/n)°

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