I have an irregular pentagon with known lengths. I am trying to understand how to calculate the interior angles.
The lengths are as follows, connecting in the following order:
L1 = A, L2 = B, L3 = C, L4 = C, L5 = B
It looks like a barn roof. :-)
How can I go about finding the interior angles, as a function of the segments? Also note, It is symmetric around the mid point of L1 and the point connecting L3 and L4. That would provide a new 4 sided polygon, with known 90 degree angle and a new, unknown length. The other lengths would be L1/2, L2, L3 but I'm not sure of its usefulness.
I know the sum of interior angles is 540 degrees for the pentagon and 360 for the the other one.
Maybe there is some way to divide the pentagon into three triangles and calculate the angles from that?
Thanks