#### BC is one side of a regular n-gon. The sides next to BC are extended to meet at W. Find the measure of _______.

**Answer:**

The measure of the angle at W in a regular n-gon where BC is one side is 180 – ((n – 2) * 180 / n) degrees.

**Explanation:**

In a regular n-gon, the sum of the interior angles is given by the formula (n – 2) * 180 degrees. Since BC is one side of the regular n-gon, the measure of the angle at B is (n – 2) * 180 / n degrees. The measure of the angle at W, where the sides of the n-gon next to BC are extended to meet, is equal to the supplementary angle of the angle at B. Therefore, the measure of the angle at W is 180 – ((n – 2) * 180 / n) degrees.

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