Let's start by recalling the rule for the sum of the measures of the of a .
Interior Angle Sum of a Polygon
|
The sum of the is (n−2)180, where n represents the number of sides.
|
To find the measure of one interior of a regular , we will start by finding the sum of its interior angles. Let's substitute
10 for
n in this .
The sum of the interior angles of a decagon is
1440∘.
Now, recall that a is a polygon in which all the angles have the same measure. Therefore, a regular decagon has
10 angles with the same measure. To find the measure of one angle, we will divide the sum of the angles by
10.
Sum of Angles:One Angle:1440∘101440=144∘