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What is the measure of each interior angle of a regular polygon that has a total sum of 275 diagonals showing work with answer?
Wiki User
∙ 8y ago
Let the number of sides be n and so:-
If: 0.5*(n^2 -3n) = 275
Then: n^2 -3n -550 = 0
Solving the above quadratic equation: n has positive value of 25
Each interior angle: (25-2)*180/25 = 165.6 degrees
Wiki User
∙ 8y ago
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