Mathematics · Geometry
Rehnuma makes different polygons using matchsticks and measures their interior angles with a protractor. She makes a triangle with three matchsticks and adds one more to make a quadrilateral. Then she adds one more matchstick to make a pentagon, and so on. Which of the following statements is correct about the interior angles of these shapes?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1When the number of sides increases, the sum of the measures of the interior angles of a polygon decreases.
- 2When the number of sides increases, the sum of the measures of the interior angles of a polygon also increases.✓
- 3The sum of all the interior angles of a quadrilateral is three times the sum of all the interior angles of a triangle.
- 4The sum of all the interior angles of any polygon is 360°.
Correct answer
When the number of sides increases, the sum of the measures of the interior angles of a polygon also increases.
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