11 calculate the number of sides of a rectangular polygon (i) an interior angle is five times an exterior - Maths -

Question

11 calculate the number of sides of a rectangular polygon
(i) an interior angle is five times an exterior angle
(ii) the ratio of an exterior to an interior angle is 2:7
(iii) an exterior angle exceeds an interior angle by 60

Lovina Kansal · Accepted Answer

Dear student
1) Let n be the number of sides of regular polygonMeasure of each exterior angle=360°nMeasure of each interior angle=n-2180°nNow, According to question,n-2180°n=5×360°n⇒180n-360°=1800°⇒180n=2160⇒n=12
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11. calculate the number of sides of a rectangular polygon (i) an interior angle is five times an exterior angle (ii) the ratio of an exterior to an interior angle is 2:7 (iii) an exterior angle exceeds an interior angle by 60

11. calculate the number of sides of a rectangular polygon
(i) an interior angle is five times an exterior angle
(ii) the ratio of an exterior to an interior angle is 2:7
(iii) an exterior angle exceeds an interior angle by 60