Question - Polygon Exterior Angles Sum Calculation
Solution:
The image displays a math problem that states the following:"The sum of the measures of the interior angles of a polygon is equal to 1260° - 180°/n, where n is the number of sides of the polygon. What is the sum of the measures of the exterior angles of a polygon with twelve sides?"To solve this problem, we need to first understand a few key points:1. The sum of the measures of the interior angles of a polygon with n sides is given by the formula (n-2) * 180°.2. The measure of each exterior angle is supplementary to the measure of its corresponding interior angle, meaning they add up to 180°.3. The sum of the measures of the exterior angles of any polygon is always 360°, regardless of the number of sides.At this point, we don't really need to compute the sum of the interior angles as provided in the question since the sum of the exterior angles is independent of the number of sides—the answer is always 360°.Therefore, the sum of the measures of the exterior angles of a polygon with 12 sides is:360°Hence, the correct answer is option B) 360°.
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