The interior angles of a 40 sided polygon add up to 6840 degrees
If it's a regular polygon then it will have 40 sides
concave polygon
sum interior angles = (number of side - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 6840° ÷ 180° + 2 = 40 It has 40 sides.
The sum of the interior angles of a convex polygon with n sides is given by (n-2)x180o. So for a 40 sided polygon n=40; thus (40-2)x180o = 38x180o = 6840o.
It is a concave or reentrant polygon.
If it's a regular polygon then it will have 40 sides
An interior or exterior angle of the polygon.
concave polygon
convex
Convex polygon. When the sides are extended, none of them pass through the polygon's interior.
If an interior angle is 40 degrees, the polygon must be irregular since the smallest angle for a regular polygon is 60 degrees. Since it is irregular, the polygon can have any number of sides.
sum interior angles = (number of side - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 6840° ÷ 180° + 2 = 40 It has 40 sides.
Concave
The sum of the interior angles of a convex polygon with n sides is given by (n-2)x180o. So for a 40 sided polygon n=40; thus (40-2)x180o = 38x180o = 6840o.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
If measured on the inside of the polygon, the it is an interior angle.
It is a convex polygon.