Question

question 9 of 10
the sum of the measures of the interior angles of a polygon with n sides is

a. (n - 2)360°
b. (n - 3)180°
c. (n - 2)180°
d. (n - 3)3600°
e. (n - 2)90°

Explanation:

The sum of interior angles of an n-sided polygon is a fundamental geometric formula. For a triangle (n=3), sum is 180°; substituting n=3 into (n-2)180° gives 180°, which is correct. For a quadrilateral (n=4), sum is 360°, and (4-2)180°=360°, confirming the formula.

Answer:

C. (n - 2)180°