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In regular polygons, what is the relation between the number of sides and the degree measure of an outer angle? Can it be stated in terms of proportion? |
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Answer» The sum of the exterior angles of all polygon is 360°. If ‘n’ is the number of sides. Measure of an exterior angle = \(\frac{Sum\,of\,exterior\,angles}{No.of\,sides}\) One outer angle = 360/n (n = number of sides) If the measure of an exterior angle is ‘x’. x = \(\frac{1}{n}\times360 ^\circ\) One outer angle and number of sides are inversely proportional. The constant of proportionality is 1/n. |
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