A regular polygon of n sides has each exterior angle to 45o. Find the value of n
Answer Details
In a regular polygon with n sides, each exterior angle measures 360/n degrees. We are given that in this polygon, each exterior angle is 45 degrees. Therefore, we can set up an equation:
360/n = 45
To solve for n, we can cross-multiply and simplify:
360 = 45n
n = 360/45
n = 8
Therefore, the regular polygon in question has 8 sides. Answer: 8.