Problem

Find the sum of the measures of the angles of a seven-sided polygon.

Answer

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Answer

Final Answer: The sum of the measures of the angles of a seven-sided polygon is 900.

Steps

Step 1 :Let's find the sum of the measures of the angles of a seven-sided polygon.

Step 2 :The sum of the interior angles of a polygon can be calculated using the formula (n2)180, where n is the number of sides of the polygon.

Step 3 :In this case, n is 7.

Step 4 :Substitute n = 7 into the formula, we get (72)180=900.

Step 5 :Final Answer: The sum of the measures of the angles of a seven-sided polygon is 900.

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