What is the sum of the angles in a pentagon?

What is the sum of the angles in a pentagon?

• A. 540 degrees
• B. 360 degrees
• C. 720 degrees
• D. 1080 degrees

Answer: (A)

The sum of the interior angles of a polygon can be determined using the formula \( (n - 2) \times 180 \) degrees, where \( n \) is the number of sides in the polygon. For a pentagon, which has five sides, you would substitute \( n = 5 \) into the formula: \[ (5 - 2) \times 180 = 3 \times 180 = 540 \text{ degrees} \] This means that the total measure of all the interior angles in a pentagon is indeed 540 degrees. This calculation aligns with the properties of polygons and is foundational in geometry, making the answer consistent and reliable.

The sum of the interior angles of a polygon can be determined using the formula ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides in the polygon. For a pentagon, which has five sides, you would substitute ( n = 5 ) into the formula:

[

(5 - 2) \times 180 = 3 \times 180 = 540 \text{ degrees}

]

This means that the total measure of all the interior angles in a pentagon is indeed 540 degrees. This calculation aligns with the properties of polygons and is foundational in geometry, making the answer consistent and reliable.