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.
The interior angles of a 14 sided polygon add up to 2160 degrees
Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.
Each interior angle measures 140 degrees
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The interior angles of a 14 sided polygon add up to 2160 degrees
Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.
No, a convex polygon cannot have an interior angle sum of 400 degrees. The sum of the interior angles of a convex polygon is always equal to (n-2) * 180 degrees, where n is the number of sides. Since the sum of the interior angles must be greater than 180 degrees for each interior angle, a convex polygon with an interior angle sum of 400 degrees would require at least 9 sides, which would make it a nonagon, not a polygon.
A polygon with interior angle measures of 108 would be a pentagon
1440 degrees
1440 degrees
The polygon will have 12 equal sides and each interior angle measures 150 degrees.
The sum of the measures of the exterior angles of any convex polygon is always 360 degrees, regardless of the number of sides the polygon has. This holds true for all convex polygons, and each exterior angle can be calculated by taking the supplement of its corresponding interior angle. Therefore, no matter how many sides the polygon has, the total exterior angle sum remains constant at 360 degrees.
A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
1800 degrees
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
Each interior angle measures 140 degrees