Question

a. find the number of sides of a regular polygon whose exterior angle has a measure of
1. 24°

b. find the number of sides of a regular polygon if each of its interior angle is
1. 165°


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Answer 1

Answer:

Step-by-step explanation:

a.

 interior angle=180-24

                        =156

  angle=

[formula]=180[n-2]/n

 156=180[n-2]/n

 156n=180n-360

24n=360

n=15 sides

b.interior angle=165

   angle=180[n-2]/n

          165=180[n-2]/n

          165n=180n-360

          15n=360

              n=24 sides