Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is [tex](n-2)180[/tex], where n = total number of sides.
Thus, we substitute n for 10, and you get:
[tex](10-2)180=1440[/tex]
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.
