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If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by

1. 90°
2. 180°
3. 270°
4. 360°

Correct answer: 180°

Solution

The sum of the interior angles of a polygon can be calculated using the formula (n-2) × 180°, where n is the number of sides. When increasing the number of sides from three to four, the increase in the sum of the interior angles is (4-2) × 180° = 2 × 180° = 360°, but since we are comparing the difference from a triangle (180°) to a quadrilateral (360°), the increase is 180°.

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