Answer:
[tex]\text{D. }108^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with [tex]n[/tex] sides is given by [tex]180(n-2)[/tex].
A pentagon is a shape with 5 sides and 5 angles. Therefore, the sum of its interior angles is equal to:
[tex]180(5-2),\\180\cdot 3=540^{\circ}[/tex]
Regular polygons can be defined as polygons with equal side lengths and angles. Therefore, to find the measure of each interior angle of a regular polygon, divide the sum of the interior angles (540 degrees) by the number of angles the polygon has (5 sides).
Therefore, each interior angle in a regular polygon has a measure of:
[tex]\frac{540}{5}=\boxed{108^{\circ}}[/tex]
