Question

The sum of the internal angles of a regular pentagon is ............ degrees

Hint:

To find the sum of internal angles for any polygon, use the formula \((n - 2) \times 180^\circ\), where \(n\) is the number of sides.

Answer 1

Correct Answer: 539

Step 1: Formula for the sum of internal angles.
The sum of the internal angles of any polygon can be calculated using the formula: \[ \text{Sum of internal angles} = (n - 2) \times 180^\circ, \] where \( n \) is the number of sides of the polygon.

Step 2: Apply the formula for a pentagon.
For a pentagon, \( n = 5 \): \[ \text{Sum of internal angles} = (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ. \]

Step 3: Conclusion.
The sum of the internal angles of a regular pentagon is 540 degrees.