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540o = 6 right angles so 5 sides (interior angles of any polygon = (2 x sides - 4) right angles.
The formula for the sum of the interior angles for a polygon having n sides = 2n - 4 right angles. 3240 ÷ 90 = 36 right angles : When 2n - 4 = 36 then 2n = 36 + 4 = 40 : n = 20 The regular polygon has 20 sides.
Sum of angles in a polygon is (n -2)180. Hexagon has six sides. So the sum of angles is (6- 2)180. (4)180 =720
Sum of interior angles of a polygon = (2n - 4)right angles 1260 = (2n - 4) x 90 1260 = 180n - 360 900 = 180n n = 5, it is a pentagon