234,178 views
24 votes
24 votes
What is the sum of the measures of a 12-gon?180°360°1800°2160°

User Deykun
by
2.6k points

2 Answers

21 votes
21 votes

Answer:

1800°

Explanation:

the sum of the interior angles of a polygon is calculated as

sum = 180° (n - 2) ← n is the number of sides

here n = 12 , then

sum = 180° × (12 - 2) = 180° × 10 = 1800°

User Cescofry
by
2.7k points
14 votes
14 votes

Sum of interior angles of an n-gon

The sum of the interior angles of any convex n-gon (polygon with n sides) is given by (n-2)*180°.

Since n = 12:

S = (12 - 2) * 180°

S = 10 * 180°

S = 1800°

User Leblanc Meneses
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.