By default FDTD assumes the origial data has meter in unit. So you may need to test the scalling factor to be 1e-9; you can use a rectangle geometry for testing.
The "ruler" is the easy tool to roughtly measure sizes. You can also do a simulation with standard geometry such as rectangle and use script to get data from index monitor. Please note that after meshing the geometry will not be exactly the same as the continuous geometry.
I do not think there is a direct way to measure the angles. You can use a standard geometry with side angles and use two monitors. After simulation you can compare the data and calculate the angle.
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