Question

Find the measure of a central angle of a regular polygon with 10 sides

Answer 1

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is $(n-2)180$, where n = total number of sides.

Thus, we substitute n for 10, and you get:

$(10-2)180=1440$

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.