Questions: What is the sum of 2 of the interior angles of a regular hexagon?

Solution Steps

To find the sum of 2 of the interior angles of a regular hexagon, we first need to determine the measure of one interior angle of the hexagon. A regular hexagon has six sides, and the formula to find the measure of an interior angle of a regular polygon is \((n-2) \times 180^\circ / n\), where \(n\) is the number of sides. Once we have the measure of one interior angle, we can simply multiply it by 2 to get the sum of two interior angles.

To find the measure of an interior angle of a regular polygon, we use the formula: \[ \text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n} \] where \( n \) is the number of sides of the polygon.

For a regular hexagon, \( n = 6 \). Substituting into the formula, we have: \[ \text{Interior Angle} = \frac{(6-2) \times 180^\circ}{6} = \frac{4 \times 180^\circ}{6} = 120^\circ \]

The sum of two interior angles of the hexagon is: \[ 2 \times 120^\circ = 240^\circ \]

Final Answer