ii) Find the number of sides of a regular polygon if each of the interior angel is 1680
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The formula (n-2)×180 can be used to find the sum of the interior angles of ANY polygon where n is the number of sides in the polygon.
Divide that number by n to get the measure of each individual angle of that polygon.
So substitute known values for your question.
((n-2)×180)/n = 168
So then we get 168n = 180n — 360
We then get -12n = -360
Solving for n, we get n = 30
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30 Sides....
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