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I have two rectangular profiles that face each other at an angle (see image). Now I want to create a middle plane in between those faces with the outer vertices on the continuation of those profiles. How can I do that?

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You could do it with the TinyCAD addon:

  • Extend the edges along their axis with GG + C:

enter image description here

  • Activate the TinyCAD addon, select all and right click > TinyCAD > XALL:

enter image description here

  • Clean the result, remove vertices, merge by distance to remove doubles:

enter image description here

  • Fill the faces:

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