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The sum of exterior angles of any polygon= 360degree

A 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.

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Q: How do you determine the size of the angles of a regular hexagon?
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Related questions

How many angles is in a hexgon?

there are six angles in a hexagon. In a regular hexagon (all of the angles are the same size) they each measure 120 degrees


What are the size of exterior angles of hexagon?

Providing that it is a regular 6 sided hexagon then each exterior angle measures 60 degrees


Can 6 isosceles triangles make a hexagon?

Yes, as long as you don't want a regular hexagon. All that is necessary is for the 6 apex angles to add up to 360 degrees and all the sides adjacent to those angles to be equal in length. If you want a regular hexagon only 6 equilateral triangles of the same size will do.


How can you show that all sides and angles of a hexagon are congruent without using a ruler or a protractor?

You can do that by simply proving that the hexagon is a regular hexagon. You could do this by dividing the hexagon into 6 equilateral triangles of the same size successfully that tesselate to form a hexagon, thus proving that all sides are equal.


What is the size of one angle in a hexagon?

In a regular hexagon in which the angles are congruent you can use a formula. ((6-2)*180)/6 120 degrees. The reason this works is that you can draw 4 diagonals inside the hexagon and triangles have 180 degrees each.


How do you determine the size of a hexagon?

There are several possible measures of a hexagon.A measure could be the length of a side. In that case, if it is regular or equilateral you can measure its side length; if not you need to measure each side.A measure could be its area, in which case you would need to calculate it - form its side lengths and, in not regular, the angles.


What is the difference between a regular hexagon and an irregular hexagon?

All hexagons have six sides.If the six sides are of the same length and the angles formed by the six intersections of these lines are all identical, then it is a special hexagon called a regular hexagon.If any of the sides is a different length than any other side or if any of the angles are a different size than any of the others, the hexagon is called an irregular hexagon.


What is a six sided shape with all angles and sides the same size?

hexagon


What are the size of interior angles of hexagon?

In a equilateral (all sides are the same lenght) hexagon: 360 degrees, divided by 6 angles, 360/6=60, 60 degrees.


Why does a hexagon have all the same size of angles?

because , since each angle measures the same then all of th angles are the same size :p


Is a hexagon a six sided shape with all angles and sides the same size?

Absolutely !


A square whose sides measures ten centimeter can it fit in a regular hexagon?

Yes.. depending on the size of the hexagon's sides