Question

Which formula correctly represents the sum of interior angles of an n-sided polygon?

Options

• n × 180°

• (n − 1) × 180°

• (n − 2) × 180°

• (n + 2) × 180°

Answer 1

(n − 2) × 180°

Explanation:

Any n-sided polygon can be divided into (n − 2) triangles, and since each triangle has angles summing to 180°, the total is (n − 2) × 180°.