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

Mathematics

1 answer:

Paraphin [41]3 years ago

5 0

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.

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