A regular polygon of n sides has each exterior angle to 45o. Find the value of n

Assessment: WAEC SSCE - General Mathematics - 2011 (Objective) Subject: General Mathematics

Question 1 Report

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.
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