How many sides does a regular polygon have if each of its interior angles is \(165\degree\)?
Solution and Explanation
Measure of each interior angle = \(165\degree\)
Measure of each exterior angle = \(180\degree - 165\degree = 15\degree\)
The sum of all exterior angles of any polygon is \(360\degree\)
Thus, number of sides of the polygon
= \(\frac{360\degree}{15\degree}=24\)
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