We are given a stained glass window in the shape of the following .
We are asked to find the measure of ∠H. Let's start by recalling the rule for the sum of the measures of the of a .
Interior Angle Sum of a Polygon
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The sum of the is (n−2)180, where n represents the number of sides.
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To find the measure of one interior of a regular , 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 .
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:One Angle:720∘6720=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.