There is no tool in LayOut like SketchUp’s Tape Measure Tool.
There are alignment tools under the Arrange menu and you can adjust the location of the Precision point so that point can be snapped into position. You can also use the cursor keys to move entities specific distances.
I will often create a layer called “guide lines”. It just has lines on it that i have drawn to use for alignment. Toggle this layer to be visible when needed and use Object Snap or Grid Snap to line stuff up. Then toggle invisible. This is probably a bit crude, but it seems to work until I figure out something better.