Question

Prove that (n-2) >180' is the sum of the interior angle of a polygon. please help :))​

Answer 1

Answer:

Theorem: The sum of the angles in any convex polygon with n vertices is (n – 2) · 180°. Proof: By induction. Let P(n) be “all convex polygons with n vertices have angles that sum to (n – 2) · 180°.” We will prove P(n) holds for all n ∈ ℕ where n ≥ 3. ... Any such polygon is a triangle, so its angles sum to 180°.