Question

What is the sum of the measures of the angles of a 25-gon? A.2,500(degrees)B.360(degrees)C.4,140(degrees)D.25(degrees)

Answer 1

The sum of the interior angles of an n-polygon is:

`180^(\circ)(n-2)\text{.}`

Therefore, the sum of the measures of the angles of a 25-gon is:

`180^(\circ)(25-2)=180^(\circ)*23=4140^(\circ).`

Answer: Option C.