Question
Marco is drawing a regular hexagon. He needs to know what the measure is of one interior angle. (1 point)
What is the measure of one interior angle?
°
What is the measure of one interior angle?
°
Answers
GPT-4o mini
To find the measure of one interior angle of a regular hexagon, 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 hexagon, \( n = 6 \).
Plugging in the value:
\[
\text{Interior angle} = \frac{(6 - 2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6} = \frac{720^\circ}{6} = 120^\circ
\]
Therefore, the measure of one interior angle of a regular hexagon is \( 120^\circ \).
\[
\text{Interior angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides of the polygon. For a hexagon, \( n = 6 \).
Plugging in the value:
\[
\text{Interior angle} = \frac{(6 - 2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6} = \frac{720^\circ}{6} = 120^\circ
\]
Therefore, the measure of one interior angle of a regular hexagon is \( 120^\circ \).