How to draw construction lines at odd angles?


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Apologies for my seemingly beginner question. But I'm currently trying to design a home theater room and I'd like to design the room to be capable of adopting dolby's 7.1 surround system speaker placement guidelines according to the website below.


This guide provides optimal angles at which each set of speakers are to be placed from the intended listener/viewer. So I began to simply use the line tool to draw "cones" of possible speaker placements. However, the lines are limited to the snap angles of the document properties. I believe those are every 15 degrees. I don't... actually want to change the snap angles. I WANT to be able to select two lines and define the angle between those two lines. Just like in most CAD programs. 


I suppose I could draw triangles and use trigonometry. But... I mean, that seems a bit overboard. I guess it wouldn't be too hard to do so. But there must be an easier way.


EDIT: In attempting to use Trig, I found you can set the angle if you double click on a line drawing of 2 lines. However, it is quite... ungainly.


EDIT2: AANNNDD I just found the angular dimension tool.

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