Question

what will be the angle-sum of a convex polygon with 11 sides?

Answer 1

Hey hi........

A 11-sided convex polygon will have 11 exterior angles whose sum will be 360 deg. The sum of the 11 interior angles of the convex polygon = (n-2)*180 = (11–2)*180 = 9*180 = 1620 deg.

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Answer 2

A convex polygon with 11 sides has 11 vertices.
At each vertex , the sum of the interior Angles and exterior angles is 180°
The sum of the interior Angles and exterior angles of all vertices is 180° × 11 which is 1980.
The sum of the exterior angles of all vertices is 360°.
Whereas,
The sum of interior Angles if a convex polygon with 11 sides is 1980 - 360° = 1620