Os 3. (a) (i) Find the sum of interior angles of a regular hexagon.
(ii) Hence, find the size of each interior angle of a regular hexagon.
(b) (i) Find the sum of interior angles of a regular polygon with 18 sides.
(ii) Hence, find the size of each interior angle of a regular polgon with 18 sides
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a.i) To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above).
ii) And there are six angles. So, the measure of the interior angle of a regular hexagon is 120 degrees.
b.i) sum of interior angles of a regular polygon with 18 sides= 120*18 = 2160
ii) The formula that gives the measure of the interior angle of a regular polygon is: (n-2)*180/n, where n is the number of sides. The measure of one angle of the regular polygon whose number of sides is 18, is of 160 degrees.
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please give a step by step answer
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