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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

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โˆ™ 2016-03-22 12:34:54
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Q: What is the measure of each interior angle of a regular polygon that has a total sum of 275 diagonals showing work with answer?
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