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Q] express in degrees and radians,the interior angles of a regular
a]pentagon
b]hexagon
c]octagon
d]polygon of 15 sides...
For N-sided polygon,
sum of interior angles is (2n-4)*90 degrees
also Pi radians = 180 degrees
a) pentagon (n=5)
sum of interior angles = 540 deg
since its regular pentagon, each interior angle is same = 540/5 =108 degres = 1.884 radians
b) hexagon (n=6)
sum of interior angles = 720 deg
since its regular hexagon, each interior angle is same = 720/6 =120 degres = 2.093 radians
c) octagon (n=8)
sum of interior angles = 1080 deg
since its regular hexagon, each interior angle is same = 1080/8 =135 degres = 2.355 radians
d) polygon (n=15)
sum of interior angles = 2340 deg
since its regular hexagon, each interior angle is same = 2340/15 =156 degres = 2.721 radians
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