find the number of sides of a regular polygon if each interior angle is 165 also find the number of diagonals and each exterior angle
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(I) No. of sides
165 = 180(n-2)/n
after solving this equation
n=24
(ii) Each ext. angle = 360/n= 360/24 = 15
(iii) no. of diagonal = n(n-3)/2 = 24*21/2 = 252
165 = 180(n-2)/n
after solving this equation
n=24
(ii) Each ext. angle = 360/n= 360/24 = 15
(iii) no. of diagonal = n(n-3)/2 = 24*21/2 = 252
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