What is the sum of the interior angles of a pentagon?

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Study for the Praxis Math and Science Exam (5008). Explore flashcards and multiple choice questions with hints and explanations for each. Prepare to ace your exam!

Multiple Choice

What is the sum of the interior angles of a pentagon?

Explanation:
The sum of the interior angles of a polygon can be found using the formula: \[ \text{Sum of interior angles} = (n - 2) \times 180 \] where \( n \) is the number of sides of the polygon. For a pentagon, which has 5 sides, substituting \( n \) with 5 gives: \[ \text{Sum of interior angles} = (5 - 2) \times 180 = 3 \times 180 = 540 \text{ degrees} \] This calculation confirms that the sum of the interior angles of a pentagon is indeed 540 degrees. This understanding is crucial not just for pentagons but also for other polygons, as it allows for quick calculations by simply adjusting the number of sides in the formula.

The sum of the interior angles of a polygon can be found using the formula:

[ \text{Sum of interior angles} = (n - 2) \times 180 ]

where ( n ) is the number of sides of the polygon. For a pentagon, which has 5 sides, substituting ( n ) with 5 gives:

[ \text{Sum of interior angles} = (5 - 2) \times 180 = 3 \times 180 = 540 \text{ degrees} ]

This calculation confirms that the sum of the interior angles of a pentagon is indeed 540 degrees. This understanding is crucial not just for pentagons but also for other polygons, as it allows for quick calculations by simply adjusting the number of sides in the formula.

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