Find measure of each angle of a 10 sided regular polygon.

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Solution

Sum of all angels of a n sided polygon = (n-2)180 degrees
Value of each angle,in a n sided regular polygon $= \frac{[(n - 2) 180]}{n}$

So, a 10 sided polygon, sum of all the angles $= 8 \times 180 = 1440$ degrees
Value of each angle,in case it is a regular polygon $= \frac{1440}{10}$ = 144 degrees.

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