Question

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

Answer 1

114 degrees

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.