The sum S of the measures of the interior angles of a polygon with n sides is given by the formula S equals 180 left parenthesis n minus 2 right parenthesis. The interior angles of a certain polygon have a sum of 1 comma 620 degree. How many sides does the polygon have?
A: 11
B: 9
C: 13
D: 7
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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. so ans = 7
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