Jack
The internal angle is 120 therefore the angle to cut is 60
Tom
Tom's right here guys, but before I explain why...how many times did this op post this question and have they been back to respnd???
Here's why:
The least number of sides on a polygon is 3 (triangle). In any triangle, the sum of all angles must equal 180 degrees. Now, every time another side is added, you must add another 180 degrees. So for a rectangle it's 180 + 180 = 360, and since it's 4 sided, 360/4=90 and half of 90 = 45 degrees for the miter.
Now, a hexagon is a 6 sided polygon, so that's 180 + 540 (180 * 3) = 720. So, the sum of all angles in a hexagon must equal 720 degrees. 720/6=120 and half of 120 = 60 degrees for the miter.
If you think about it it makes sense, look at how the angles get larger with the addition of sides:
Equalateral triangle: each angle = 60 degrees
Rectangle/Square: each angle = 90 degrees
Pentagon: each angle = 108 degrees
Hexagon: each angle = 120 degrees