finding the value of x of a polygon

Question

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

Answer 1

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively.

5 angles are given it means it is pentagon

 

addition of internal angle of pentagon = (n-2)*180 =(5-2)*180=3*180=540

 

so

 

x+2x+3x+4x+5x = 540

15x =540

x =36

 

so x = 36