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Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?

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.


What is the sum of the measures of the exterior angles one at each vertex of a convex 140-gon A hexagon?

The exterior angles of any polygon always add up to 360 degrees


In the straightedge and compass construction of the regular hexagon below how do you know that and cong?

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.


Do you divide the height of the hexagon when you are make it in to a trapezoid?

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!


How do you mesure a hexagon with a protractor?

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.

Related Questions

What is the measure of an exterior angle adjacent to the vertex angle?

It is: 180-vertex angle = exterior angle


How do you draw lines of symmetry lines in a regular hexagon?

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.


How many degree angle does regular hexagon has?

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


How do you split a hexagon in thirds?

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.


Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?

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.


What is the sum of the measures of the exterior angles one at each vertex of a convex 140-gon A hexagon?

The exterior angles of any polygon always add up to 360 degrees


In the straightedge and compass construction of the regular hexagon below how do you know that and cong?

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.


How do you determine the size of the angles of a regular hexagon?

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.


The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?

Very rarely.


If you make half of a hexagon what shape do you get?

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).


Do you divide the height of the hexagon when you are make it in to a trapezoid?

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!


How do you mesure a hexagon with a protractor?

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.