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?

1 answer

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.

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