Compact inverted bracket brick
A more compact version of the inverted bracket brick can be created by using a hinge. The other is 2x3 studs, this is 2x2 - both enable 180 degree snot.
To find the different pieces needed for this technique you can search LEGO's online Pick-a-Brick for the design ID's. We link other market places directly on each individual piece page, which you can find below.
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Here's the assembly. The construction is easy and the geometry lines up perfectly.
The completed construction. 180 degree goodness.