The answer depends on the shape and what information you do have about it.
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subtract 90 from it and find the trig ratio of that and it will be equal to the trig ratio that is over 90 degrees
To find an angle without using a calculator, you will need to use a trig identity. Determine which angle it is and use its corresponding trig identity.
Angles inside a hexagon = 6 Angles inside a pentagon = 5 Total = 11
you must know more information. Like the lengths of 2 sides. Then using Trig (law of sines or law of cosines) you can find the remaining sides and angles.
A key part of plumbing is installing piping with the proper slopes for drainage. That requires a good understanding of angles and triangles.