sum of interior angle measures of a polygon is 720 degrees, how many sides does the...
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Problem
sum of interior angle measures of a polygon is 720 degrees, how many sides does the polygon have?
Step-by-step solution
The sum of interior angles of a polygon with n sides is given by the formula $(n-2) \times 180^{\circ}$. Setting this equal to $720^{\circ}$ and solving for n: $(n-2) \times 180 = 720 \implies n-2 = 4 \implies n = 6$.
Answer
6