Question
What is the sum of the interior angles of a pentagon?
Answers
GPT-4o mini
The sum of the interior angles of a polygon can be calculated using the formula:
\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\]
where \( n \) is the number of sides of the polygon. For a pentagon, \( n = 5 \).
Substituting into the formula:
\[
\text{Sum of interior angles} = (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ
\]
Thus, the sum of the interior angles of a pentagon is \( 540^\circ \).
\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\]
where \( n \) is the number of sides of the polygon. For a pentagon, \( n = 5 \).
Substituting into the formula:
\[
\text{Sum of interior angles} = (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ
\]
Thus, the sum of the interior angles of a pentagon is \( 540^\circ \).