Marco is drawing a regular hexagon. He needs to know what the measure is of one interior angle.

Question

What is the measure of one interior angle?

Answer 1

To find the measure of one interior angle of a regular hexagon, you can use the formula for the interior angles of a polygon:

\[ \text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n} \]

where \( n \) is the number of sides of the polygon. For a hexagon, \( n = 6 \).

Substituting \( n = 6 \) into the formula, we get:

\[ \text{Interior Angle} = \frac{(6 - 2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6} = \frac{720^\circ}{6} = 120^\circ \]

Therefore, the measure of one interior angle of a regular hexagon is \( 120^\circ \).