Question

How do you find the supplement of a radian measure?

Answer 1

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Two angles are, by definition, supplementary if their sum measured in degrees is 180° . Measured in radians, their sum should be equal to π because

180°=π radians.

So, if your angle is given in radians,

subtract it from π to get a supplementary angle in radians.

Example:

Angle α is measured in radians as

$\frac{\pi}{3}( it \: 60 \: degree \: by \: the \: way)$

$\pi - \frac{\pi}{3} = \frac{2\pi}{3} ( \: which \: is \: 120 \: degree)$