Question
What is the measure of ONE interior angle in a regular pentagon (5-sides)?(1 point)
Responses
180°
180°
108°
108°
120°
120°
90°
90°
Responses
180°
180°
108°
108°
120°
120°
90°
90°
Answers
GPT-4o mini
The measure of one interior angle in a regular pentagon can be calculated using the formula for the interior angle of a regular polygon:
\[
\text{Interior angle} = \frac{(n - 2) \times 180°}{n}
\]
where \( n \) is the number of sides. For a pentagon, \( n = 5 \).
\[
\text{Interior angle} = \frac{(5 - 2) \times 180°}{5} = \frac{3 \times 180°}{5} = \frac{540°}{5} = 108°
\]
Therefore, the measure of one interior angle in a regular pentagon is **108°**.
\[
\text{Interior angle} = \frac{(n - 2) \times 180°}{n}
\]
where \( n \) is the number of sides. For a pentagon, \( n = 5 \).
\[
\text{Interior angle} = \frac{(5 - 2) \times 180°}{5} = \frac{3 \times 180°}{5} = \frac{540°}{5} = 108°
\]
Therefore, the measure of one interior angle in a regular pentagon is **108°**.