Finding an unknown side of an irregular quadrilateral

[8008jsmith8008]

Hi all,

I have a problem that I'm having a really difficult time solving. View attachment 7901

I've tried break the shape into right triangles and solving for the hypotenuse but that gets me nowhere. I tried solving for angles but I still can't get anywhere. I feel like I need more information. Any help would be appreciated.

 

[I like Serena]

Hi jsmith, welcome to MHB! (Wave)

Indeed, we have insufficient information.
If the angle were given, we could find those unknowns.
With an angle of, say, $45^\circ$, the groove would need to be 100 μm wide to be 100 μm deep.