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