What is the sum of all interior angles of a seven-sided convex polygon?
Answers
Answered by
1
Solution:-
The sum of the measure of the interior angles of an n-sided polygon is given by this formula:-
(n - 2)*180°
⇒ (7-2) × 180°
⇒ 5 × 180°
= 900°
We can subdivide a seven sided polygon into 5 triangles (when we draw lines from one vertex to the available four vertices). Since the angles of a triangle add up to 180° and we have five of them, so the answer is
5 × 180° = 900°
The sum of the measure of the interior angles of an n-sided polygon is given by this formula:-
(n - 2)*180°
⇒ (7-2) × 180°
⇒ 5 × 180°
= 900°
We can subdivide a seven sided polygon into 5 triangles (when we draw lines from one vertex to the available four vertices). Since the angles of a triangle add up to 180° and we have five of them, so the answer is
5 × 180° = 900°
Similar questions