the formula to find the sum of all interior angle of N sided polygon is
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Answer:
(n-2)×180
Step-by-step explanation:
(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR). Here "n" represents the number of sides of the polygon.
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We know that if a polygon has 'n' sides, then it is divided into (n – 2) triangles. We also know that, the sum of the angles of a triangle = 180°. Therefore, the sum of interior angles of a polygon having n sides is (2n – 4) right angles. Thus, each interior angle of the polygon = (2n – 4)/n right angles.
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