Regular n-gon

In a regular n-angle polygon the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.

Result

n =  10

Solution:

A=144 A=(n2) 180/n An=180n360 n=360/(180A)=360/(180144)=10A=144 \ \\ A=(n-2) \cdot \ 180/n \ \\ An=180n - 360 \ \\ n=360/(180-A)=360/(180-144)=10



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