Question 258984
If you are given the number of degrees of one interior angle, then use this formula
{{{(180(n-2)/n)}}} = degrees of single interior angle
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EX: suppose one interior angle is 135 degrees. We use this formula to get
{{{(180(n-2)/n) = 135}}}
multiply by n to get
{{{180(n-2) = 135n}}}
distribute to get
{{{180n-360 = 135n}}}
solving for n we get
{{{45n = 360}}}
{{{n = 8}}}
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If you are given the total number of degrees in a polygon, then to find the number of sides, use this formula:
{{{180*(n-2) = 360}}}
This will give you the number of n sides.