Let's take a look at the given diagram of the stop sign.
Now, we will remember what we know about the sum of the measures of the interior angles of a polygon.
Interior Angle Sum of a Polygon
The sum of the measures of the interior angles of a polygon is (n-2)180, where n represents the number of sides.
The given polygon has 8 sides. We can substitute this number for n into (n-2)180 to find the sum of the measures of the interior angles of the given polygon.
The sum of the interior angles of the given polygon is 1080^(∘).
The Measure of a Single Interior Angle
All of the interior angles are congruent in a regular polygon. This means that they all have the same measure.
To find the measure of a single interior angle, we can divide 1080^(∘) by 8, the number of interior angles in our polygon.
1080^(∘) ÷ 8 = 135^(∘)
The measure of each interior angle in this regular polygon is 135^(∘).
