There have been hopes that the web versions might eventually use plugins, but no evidence of it so far.
Best I could suggest in Shop would be to draw an arc, measure the angle with the Protractor tool, and add a Text label with the angle as text. That’s what an earlier version of the plugin Angular Dimension used to do with three clicks.
The later version I worked on with @slbaumgartner (who did all the hard work) Angular Dimension 2, places the text in the plane of the angle.
That’s very hard to do manually with native tools, but you might manage it using 3D Text, which I think is available in the Web versions.