Try this
Adjust the hexagon below by dragging any orange dot.
You can switch it between a
regular and
irregular hexagon using the "regular" checkbox.

Because a hexagon has an even number of sides, in a
regular hexagon, opposite sides are
parallel.

Properties of regular hexagons

Interior angle

120°

Like any regular polygon, to find the interior angle we use the formula
(180n–360)/n . For a hexagon, n=6.
See Interior Angles of a Polygon

Exterior Angle

60°

To find the exterior angle of a regular hexagon, we use the fact that the exterior angle
forms a
linear pair
with the interior angle, so in general it is given by the formula
180-interior angle.
See Exterior Angles of a Polygon

In a regular hexagon, the radius equals the side length. That is, a line from the center to any vertex will have the same length as any side.

Because of this, a regular hexagon can be thought of as being made of six
equilateral triangles.

Properties of all hexagons

Number of diagonals

9

The number of distinct diagonals possible from all vertices. (In general ½n(n–3) ).
In the figure above, click on "show diagonals" to see them.
See Diagonals of a Polygon

Number of triangles

4

The number of triangles created by drawing the diagonals from a given vertex. (In general n–2).
In the figure above, click on "show triangles" to see them. See Triangles of a Polygon

Most nuts and bolt heads are made in the shape of a hexagon. Because a hexagon has three pairs of parallel faces, a wrench can be placed
over any pair.

In a confined space, the wrench can be turned 60° (the exterior angle of a hexagon) and then the wrench
re-positioned on the next pair of sides. Doing this repeatedly will tighten the nut.

In this way, you do not need room to rotate the entire wrench a full circle.