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.
A polygon has two types of measurements: side lengths and interior angles. The number of side lengths is equal to the number of sides the polygon has, while the number of interior angles is always equal to the number of sides. So, a polygon has two measurements: side lengths and interior angles.
If it's a regular polygon then it will have 40 sides
An interior or exterior angle of the polygon.
convex
concave polygon
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.
The sum of the interior angles of a polygon can be calculated using the formula: [ \text{Sum of interior angles} = (n - 2) \times 180^\circ ] where (n) is the number of sides of the polygon. For a polygon with 40 sides ((n = 40)): [ \text{Sum of interior angles} = (40 - 2) \times 180^\circ = 38 \times 180^\circ = 6840^\circ ] Thus, the sum of the interior angles of a polygon with 40 sides is **6840 degrees Read more....tinyurl com/22enuvst
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 measured on the inside of the polygon, the it is an interior angle.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.