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What is the sum of the measures of the interior angles of a 37-gon?

  1. 6300°

  2. 7200°

  3. 6400°

  4. 6000°

The correct answer is: 6300°

To determine the sum of the measures of the interior angles of a polygon, you can use the formula: Sum of interior angles = (n - 2) × 180°, where n is the number of sides in the polygon. In the case of a 37-gon, we set n to 37. Using the formula: 1. Subtract 2 from the number of sides: 37 - 2 = 35. 2. Multiply that result by 180°: 35 × 180° = 6300°. This calculation shows that the sum of the measures of the interior angles in a 37-gon is indeed 6300°. Hence, the correct answer reflects this computation accurately, confirming it as the right choice.