To find the measure of one interior angle of a regular hexagon, we will start by finding the sum of its interior angles. Since a hexagon is a polygon with six sides, we will substitute 6 for n in this expression.
The sum of the interior angles of a hexagon is 720^(∘). Now, recall that a regular polygon is a polygon in which all the angles have the same measure. Therefore, a regular hexagon has 6 angles with the same measure. To find the measure of one angle, we will divide the sum of the angles by 6.
Sum of Angles:& 720^(∘) [0.5em]
One Angle:& 720/6=120^(∘)
Since each interior angle of a regular hexagon has the measure of 120^(∘), the measure of ∠H is equal to 120^(∘). This means that D is the correct option.
