POLYGONS 1

The total interior angles of the regular polygon is 14580⁰. Find the number of sides.

Solution

Total angles = (n - 2)180⁰

14580⁰ = (n - 2)180⁰

⁸¹14580⁰ = (n - 2)180⁰   dividing by 180⁰ both sides.

    180⁰             180⁰

81 = n - 2

81 + 2 = n

n = 83

Hence number of sides is 83

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The total interior angles of the regular polygon is 11160⁰. Find the number of sides.