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, we can use the formula for the interior angle of a regular polygon, which is given by:
\[
\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides of the polygon. For a hexagon, \( n = 6 \).
Plugging in the values:
\[
\text{Interior Angle} = \frac{(6-2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6} = \frac{720^\circ}{6} = 120^\circ
\]
Thus, the measure of one interior angle of a regular hexagon is **120 degrees**.
\[
\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides of the polygon. For a hexagon, \( n = 6 \).
Plugging in the values:
\[
\text{Interior Angle} = \frac{(6-2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6} = \frac{720^\circ}{6} = 120^\circ
\]
Thus, the measure of one interior angle of a regular hexagon is **120 degrees**.