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# How do you find the exterior angle of a regular hexagon?

## How do you find the exterior angle of a regular hexagon?

Calculate the exterior angles, or the angles outside the hexagon, by dividing 360 by “n,” where “n” equals the number of angles. In this case, you should get 60 degrees. Check your answers by adding up all the angles. When adding all exterior angles together, you should get 360 degrees.

What is the sum of the angles in regular hexagon?

Explanation: The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure.

### What is the sum of the exterior angles of a regular?

The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360. If you know the exterior angle you can find the interior angle using the formula: interior angle + exterior angle = 180°

How many degrees in an exterior angle of a hexagon?

The General Rule If it is a Regular Polygon (all sides ar Pentagon 5 540 ° 108 ° Hexagon 6 720 ° 120 ° Heptagon (or Septagon) 7 900 ° 128.57… ° Octagon 8 1080 ° 135 °

#### What are the interior angles of a hexagon?

In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. Since the interior angles of each triangle total 180º, the hexagon’s interior angles will total 4 (180º), or 720º.

What are the total measure of all angles in a hexagon?

In geometry, a hexagon (from Greek ἕξ hex, “six” and γωνία, gonía, “corner, angle”) is a six-sided polygon or 6-gon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Nov 21 2019

## How many interior angles does a regular hexagon have?

A regular hexagon has 6 equal exterior and 6 equal interior angles. The sum of the exterior angles is 360 deg, hence each exterior angle is 360/6 = 60. The interior angle being supplementary of the exterior, its value will be 180–60 = 120 deg.