Question 534202
It should not be too difficult. The six-sided shape that you see in a honeycomb pattern is a convex, regular hexagon, with all sides having the same length and all angles measuring 120 degrees. What you need looks sort of like that, but a little distorted. Having three 130 degree angles, your hexagon will be a little different from the honeycomb shape, but not by much. Convex means that none of the vertices is caving in towards the center. A polygon with a vertex that caves in is called concave. 
Are you allowed to use a protractor to measure the angles?
Are you allowed to make the two 5-cm sides form one of the 130 degree angles?
If you allowed all of the above, start by drawing a 130 degree angle for your first vertex. (Too make sure to give room for the rest of the drawing, I would draw  the angle pointing to the middle of one edge of the paper, and not too close to the opposite edge of the paper). Measure 5 cm from the vertex on both sides to have the ends of your two 5-cm sides. Those ends will be two more vertices of the hexagon.
{{{drawing( 500, 150, -5, 5, 2, 5,
  line(-3, 2.6, 0, 4 ), line( 0, 4, 3, 2.6 )
) }}}

At each of those ends, draw another line at a 130 degree angle. Those two new lines will make two more sides. You can make those sides any length you want; no need to measure. If you make both about the same length, you will have a shape like those barn roofs that have two different slopes on each side.
{{{drawing( 500, 350, -5, 5, -2, 5,
  line(-3, 2.6, 0, 4 ), line( 0, 4, 3, 2.6 ),
line(-3, 2.6, -3.8, -0.4 ), line( 3, 2.6, 4, -1.1 )
) }}}
At this point you will have four sides and 5 vertices. You only need to pick one more point for the sixth vertex, like this.
{{{drawing( 500, 400, -5, 5, -3, 5,
  line(-3, 2.6, 0, 4 ), line( 0, 4, 3, 2.6 ),
line(-3, 2.6, -3.8, -0.4 ), line( 3, 2.6, 4, -1.1 ),
line(-3.8, -0.4, 1, -2.6), line( 4, -1.1, 1, -2.6 )
) }}}