what is the formula for some of the measure of the interior angles of a polygon?
please tell the answer for this
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Step-by-step explanation:
An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n - 2)*180.
It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.
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Answer:
For any convex polygon the total sum of interior angles is (n-2)• 180⁰. This because if you start with one vertex and connect it to all the other vertices there will be n-2 triangles drawn. Because each triangle is 180⁰, you get the result (n-2)• 180⁰.
A hexagon has 6 sides, so n-2 = 4 triangles.
4 • 180⁰ = 720⁰
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