SOLUTION: The exterior angle of a polygon is one third the interior angle .calculate the number of sides of the polygon
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Question 1155049: The exterior angle of a polygon is one third the interior angle .calculate the number of sides of the polygon
Found 2 solutions by mananth, math_helper:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let ext angle be x
interior angle will be 3x
sum = 180 deg
4x=180
x=45 degree
Formula for interior angle with n sides
Thetha = (n-2)*180/n
135 = (n-2)*180/n
135 n = 180n -360
45n =360
n =8
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
That would be a regular polygon.
x is the exterior angle
x + 3x = 180
4x = 180
x = 45
Note that for a regular polygon with exterior angle ,
number_of_sides =
A regular polygon with exterior angles of 45 degrees has
360/45 = sides
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