Question

find the measure of each exterior angle of a regular polygon which has 15 sidesand a half times a number is 150. find the number

Answer 1

Answer:

Step-by-step explanation:

(i)Value of each interior angle of a polygon with n sides is given by

=(2n-4)*90/n

here n=15

so angle=(2*15-4)*90/15

=(30-4)*6

=26*6=156°

So measure of each exterior angle=180° -156°

=24°

(ii) Let the number=x

Half time of number

=x/2=15

x/2=15

x=2*15=30