To find the measure of one interior angle of a regular decagon, we will start by finding the sum of its interior angles. Let's substitute 10 for n in this expression.
The sum of the interior angles of an octagon is 1440^(∘).
Now, recall that a regular polygon 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:& 1440^(∘) [0.5em]
One Angle:& 1440^(∘)/10=144^(∘)
