How do you find the supplement of a radian measure?

1 Answer
Zor Shekhtman
May 2, 2015

Two angles are, by definition, supplementary if their sum measured in degrees is #180^o#. Measured in radians, their sum should be equal to #pi# because #180^o = pi# radians.

So, if your angle is given in radians, subtract it from #pi# to get a supplementary angle in radians.

Example:
Angle #alpha# is measured in radians as #pi/3# (it's #60^o#, by the way).

It's supplementary angle is
#pi - pi/3 = (2pi)/3# (which is #120^o#)

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