The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.
So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formula
Sum of a polygon angle measures = 180°(n - 2), where n is the number of sides.
Since this is a convex hexagon, all its interior angles are less than 180°.
The sum of the external angles of ANY convex polygon is 360 degrees. The sum of the internal angles is always equal to 180 (n-2) where n is the number of angles.
All interior angles of a 6 sided hexagon add up to 720 degrees
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
The exterior angles of any polygon always add up to 360 degrees
A hexagon cannot have a sum. There can be the sum of its interior angles, its exterior angles, its side lengths, its area (and that of some other area), or other characteristics, but not of a hexagon.
The sum of the external angles of ANY convex polygon is 360 degrees. The sum of the internal angles is always equal to 180 (n-2) where n is the number of angles.
All interior angles of a 6 sided hexagon add up to 720 degrees
What is the sum of the measures of the angles of a convex quadrilateralwill this property hold if the quadrilateral is not convex?
The 6 interior angles of a hexagon add up to 720 degrees.
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
A hexagon is a regular polygon with six equal sides. A regular hexagon has 6 exterior angles of 60o and 6 interior angles of 120o Therefore the total sum of all the angles of a regular hexagon = (6*60)+(6*120) = 1080 degrees. A hexagon need not be regular, so its angles need not all be the same. But the sum is correct because the sum of each exterior angle with its corresponding interior angle will always be 180o and 6*180o = 1080o.
The exterior angles of any polygon always add up to 360 degrees
A hexagon cannot have a sum. There can be the sum of its interior angles, its exterior angles, its side lengths, its area (and that of some other area), or other characteristics, but not of a hexagon.
It depends on convex WHAT!
The sum of the exterior angles of all polygons is 360 degrees.
It is generally accepted to count only one vertex per side when calculating the sum of exterior angles. If this is what you mean, then for every convex polygon (all angles point away from center), the sum is always 360º.However, you can also count two vertexes per side, so the sum would then be double, or 720º.
The sum of the interior angles of any polygon with n sides = 180*(n-2) degrees. So for a hexagon, the sum would be 4*180 = 720 degrees.