How do you find the complement and supplement of $\frac{11 π}{12}$ $(11pi)/12$ ?

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How do you find the complement and supplement of $\frac{11 π}{12}$ $(11pi)/12$ ?

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Answer 1 · 2017-05-07T21:27:24

Complement does not exist, supplement is $\frac{π}{12}$ $pi/12$

Explanation:

Complementary angles are two angles each less than $90^{\circ}$ $90^@$ that when added together is $90^{\circ}$ $90^@$ or $\frac{π}{2}$ $pi/2$ .
Supplementary angles are two angles each less than $180^{\circ}$ $180^@$ that when added together is $180^{\circ}$ $180^@$ or $π$ $pi$ .

Since, we can see that $\frac{11 π}{12}$ $(11pi)/12$ is clearly greater than $\frac{π}{2}$ $pi/2$ , it does not have a complementary angle.

When we find the supplement we do:
$π - \frac{11 π}{12} = \frac{π}{12}$ $pi-(11pi)/12=pi/12$
Therefore, the supplement of $\frac{11 π}{12}$ $(11pi)/12$ is $\frac{π}{12}$ $pi/12$

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How do you find the complement and supplement of $\frac{11 π}{12}$ $(11pi)/12$ ?

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How do you find the complement and supplement of 11π12(11pi)/12?

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How do you find the complement and supplement of $\frac{11 π}{12}$ $(11pi)/12$ ?