It’s possible to work out the angles of polygons with more than 4 sides by cutting them up into triangles. This is a regular hexagon. It has 6 sides and it can be divided into 4 triangles, ...

Learn more about how angles in an 𝒏-sided polygon add to 180° × (𝒏 – 2) with this BBC Bitesize Maths article. For students between the ages of 11 and 14.

Hexagon (six sides): 60 degrees. Octagon (eight sides): 67 1/2 degrees. Careful laying out of the angles is required, of course. The tools needed are a protractor and a sliding T bevel.

And 120 degrees just happens to be a hexagon’s interior angle. Had the lava all cooled at exactly the same rate, we would be left with perfect hexagonal columns, but since it did not, we got ...

A similar argument will show that after the hexagon — whose 120-degree angles neatly fill 360 degrees — no other regular polygon will work: The angles at each vertex simply won’t add up to 360 as ...

Each waxy cell is a perfect hexagon, ... It gradually pops upwards, forming a tiny point that becomes an "angle" of the hexagon. During the process, the cell's walls are continually stretched.