Thursday, January 16, 2025
HomeMathematicsWhich statement must be true about a polygon?

Which statement must be true about a polygon?

Here are five statements about polygons, with one incorrect:

  1. Correct: A polygon is a closed shape with straight sides.
  2. Correct: The sum of the interior angles of a triangle is always 180°.
  3. Correct: A regular polygon has all sides and angles equal.
  4. Correct: The sum of the interior angles of a quadrilateral is always 360°.
  5. Incorrect: The sum of the interior angles of a pentagon is 500°.
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Explanation: The sum of the interior angles of a pentagon is actually 540° (calculated as (n-2) × 180°, where n = 5). All the other statements about polygons are correct

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