SOLUTION: Please I need your help! how to draw a convex hexagon with 2 consecutive sides measuring 5cm and three consecutive angles measuring 130. Thanking you for yr quick response

Question 534202: Please I need your help! how to draw a convex hexagon with 2 consecutive sides measuring 5cm and three consecutive angles measuring 130.
Thanking you for yr quick response

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
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.

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.

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.

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