Ive tried searching the web for answers to this, but I could never really find a site which explained questions like the following : Find the number of sides of a regular polygon given that each interior angle is 165 degrees. Any help would be greatly appreciated :)
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(n - 2)*180º/n = 165º This is the formula for finding the angle degree of a regular polygon. Now multiply both sides by n, at the same time distribute the 180º through the ()
180n - 360 = 165n Now combine like terms.
- 360 = - 15n Divide both sides by - 15
n = 24 sides. R
180n - 360 = 165n Now combine like terms.
- 360 = - 15n Divide both sides by - 15
n = 24 sides. R