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:

$180^{\circ}(25-2)=180^{\circ}\times23=4140^{\circ}.$

Answer: Option C.