A rectangular polygon of (2k + 1) sides has 140o as the size of each interior angle. Find k

Assessment: JAMB UTME - Mathematics - 1989 Subject: General Mathematics

Question 1 Report

A rectangular polygon of (2k + 1) sides has 140o as the size of each interior angle. Find k
Answer Details
A rectangular has all sides and all angles equal. If each interior angle is 140o each exterior angle must be
180o - 140o = 40o
The number of sides must be  360 o 40 o  = 9 sides
hence 2k + 1 = 9
2k = 9 - 1
8 = 2k
k =  8 2
= 4

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