anyone can help me with this question plz .how u find the angle between side of hexagon which it has 6 different side and the length of each side is ,side1: 128mm, side 2:10mm, side3:112mm,side4: 82mm, side5:48mm,side6:30mm.
The figure will not be "rigid" and the angles will vary.
Thus the problem cannot be solved as is.
To illustrate take a couple of drinking straws and tape them together using scotchtape to form a long straw.
Create "kinks" at the 12.8 , 1.0, 11.2, 8.2, 4.8 and 3.0 cm marks. (You will need a total length of 41 cm or 410 mm)
Join the endpoints, letting your kinks become the vertices of the hexagon.
You can see that the angles are not unique.
So we will need more information to find the angles.
btw, a wonderful Calculus problem is to prove that for any convex quadrilateral , the maximum area is obtained when opposite angles are supplementary.