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

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

• A. 360 degrees
• B. 540 degrees
• C. 720 degrees
• D. 900 degrees

Answer: (B)

To find the sum of the interior angles of a polygon, you can use the formula \( (n - 2) \times 180 \), where \( n \) is the number of sides in the polygon. For a pentagon, which has 5 sides, you substitute 5 into the formula: \[ (5 - 2) \times 180 = 3 \times 180 \] Calculating this gives: \[ 3 \times 180 = 540 \text{ degrees} \] Therefore, the sum of the interior angles of a pentagon is 540 degrees. This makes the correct answer valid and aligned with the calculation derived from the formula.

To find the sum of the interior angles of a polygon, you can use the formula ( (n - 2) \times 180 ), where ( n ) is the number of sides in the polygon. For a pentagon, which has 5 sides, you substitute 5 into the formula:

[

(5 - 2) \times 180 = 3 \times 180

]

Calculating this gives:

[

3 \times 180 = 540 \text{ degrees}

]

Therefore, the sum of the interior angles of a pentagon is 540 degrees. This makes the correct answer valid and aligned with the calculation derived from the formula.