Question
What is the measure of 1 interior angle in a regular pentagon.
Answers
GPT-4o mini
To find the measure of one interior angle in a regular pentagon, you can use the formula for the interior angle of a regular polygon:
\[
\text{Interior angle} = \frac{(n-2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides of the polygon. For a pentagon, \( n = 5 \).
Substituting \( n = 5 \) into the formula:
\[
\text{Interior angle} = \frac{(5-2) \times 180^\circ}{5} = \frac{3 \times 180^\circ}{5} = \frac{540^\circ}{5} = 108^\circ
\]
Thus, the measure of one interior angle in a regular pentagon is \( 108^\circ \).
\[
\text{Interior angle} = \frac{(n-2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides of the polygon. For a pentagon, \( n = 5 \).
Substituting \( n = 5 \) into the formula:
\[
\text{Interior angle} = \frac{(5-2) \times 180^\circ}{5} = \frac{3 \times 180^\circ}{5} = \frac{540^\circ}{5} = 108^\circ
\]
Thus, the measure of one interior angle in a regular pentagon is \( 108^\circ \).