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A hexagon and a triangle
Select any point inside the hexagon and draw a line segment to any point on the boundary of the hexagon. Draw 7 more such segments. These will divide the hexagon into 8 parts. The parts will not be equal but that was not a requirement of the question.
A hexagon is a six-sided figure. Cut an equilateral triangle out of a piece of paper. Chop off little equilateral triangles at each tip of the triangle. What you have is a hexagonal piece of paper. Draw around it.
You need to draw one diagonal. Look at the hexagon and then look at a pentagon. The triangle should stand out pretty well then.
Draw lines from every other angle that meet in the center.
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Since there are six sides to a regular hexagon and every side is equal in measure to find the measure of each side you would divide 720 by 6120 degreesTo properly explain why you divide 720 by 6:The sum of the measures of the interior angles of a triangle is 180 degrees. Since you can draw 4 triangles in a hexagon, the total of the angles is 4 * 180, or 720. Divide that by the number of sides in a hexagon and you get the interior angle (120 degrees).
Assuming the hexagon is equilateral (all six sides are the same length) 1) Draw a straight line from each angle in the hexagon (where the sides meet each other) to the angle on the opposite side of the hexagon. You have divided the hexagon into 6 parts now. 2) Find the center point of each line forming the sides of the hexagon. Draw a line from each center point to the opposite side's center point so that all lines drawn are at right angles to the sides. You will have 12 equal parts
Draw a line from midpoint of every other side to the center.
Oh, what a lovely question! To divide a hexagon into 6 equal parts, simply draw lines from each corner of the hexagon to the center. This will create 6 equal triangles within the hexagon, each with the same size and shape. Remember, there are many ways to divide and create beauty in this world, just like there are many ways to divide a hexagon!
Look at it the other way. Draw a hexagon, and draw two horizontal lines, in each case from one vertex to another one. That way you'll see how to divide the hexagon into a rectangle (not necessarily a square), and two triangles - which, of course, you can combine again to form the hexagon.