60 degrees.
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
The exterior angles of any polygon always add up to 360 degrees
In a straightedge and compass construction of a regular hexagon, we can show that the segments are congruent by recognizing that a regular hexagon can be inscribed in a circle. Each vertex of the hexagon is equidistant from the center of the circle, meaning all radii are congruent. By connecting the center to each vertex, we create six equilateral triangles, confirming that all sides of the hexagon are equal in length, thus demonstrating congruence.
The answer depends on whether or not the hexagon is regular, partly regular or totally irregular. In the last case it will not help. It also depends on whether you start off with a regular hexagon standing with one vertex above another or standing on one of its sides!
To measure the angles of a hexagon with a protractor, first, ensure the hexagon is flat on a surface. Place the center hole of the protractor over the vertex of the angle you want to measure, aligning one side of the angle with the baseline of the protractor. Read the measurement where the other side of the angle intersects the protractor's scale. Repeat this for each vertex to obtain all six angles of the hexagon.
It is: 180-vertex angle = exterior angle
From each vertex to its opposite vertex. These will be centered on a shared point at the center of the hexagon. Each complete line will be a line of symmetry for the hexagon.
For any regular polygon, the sum of the exterior angles = 360°The interior angle = 180° - (exterior angle).So, interior angle (of a vertex) = 180° - (360° / N)Where N is the number of vertices (which is also the number of sides).For a hexagon, Interior angle = 180° - (360° / 6) = 180° - 60° = 120°See the related link at mathopenref.com
In general, it is virtually impossible. Regular or semi-regular hexagons can be split into thirds by joining every other vertex to the centre of the hexagon.
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
The exterior angles of any polygon always add up to 360 degrees
In a straightedge and compass construction of a regular hexagon, we can show that the segments are congruent by recognizing that a regular hexagon can be inscribed in a circle. Each vertex of the hexagon is equidistant from the center of the circle, meaning all radii are congruent. By connecting the center to each vertex, we create six equilateral triangles, confirming that all sides of the hexagon are equal in length, thus demonstrating congruence.
The sum of exterior angles of any polygon= 360degreeA hexagon has 6 sides, hence 6 vertices. At each vertex there is a linear pair of one exterior angle and one interior angle. So, we get 6 exerior angles.Therefore, each exterior angle = 360 degree/6= 60 degree.Hence, each interior angle= (180 - 60) degree= 120 degree.
Very rarely.
a square ----------- Assuming it's a regular hexagon, it can be one of two shapes depending on whether you cut it in half on a side or on a vertex. On a side, it is an irregular pentagon. On a vertex, it is a trapezoid (quadrilateral).
The answer depends on whether or not the hexagon is regular, partly regular or totally irregular. In the last case it will not help. It also depends on whether you start off with a regular hexagon standing with one vertex above another or standing on one of its sides!
To measure the angles of a hexagon with a protractor, first, ensure the hexagon is flat on a surface. Place the center hole of the protractor over the vertex of the angle you want to measure, aligning one side of the angle with the baseline of the protractor. Read the measurement where the other side of the angle intersects the protractor's scale. Repeat this for each vertex to obtain all six angles of the hexagon.