SOLUTION: Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 254°

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 254°      Log On


   

Question 1106857: Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.
254°
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Coterminal angles differ by a multiple of 360%5Eo ,
so adding and subtracting 360%5Eo
you find the following two coterminal angles,
254%5Eo%2B360%5Eo=highlight%28614%5Eo%29 and
254%5Eo-360%5Eo=highlight%28-106%5Eo%29 .
Those two angle are coterminal with 254%5Eo ,
and are good answer to your question.
They are not the only possible answer.
You could find many more angles (infinitely many)
that would also be coterminal.
For example,
254%5Eo%2B2%2A360%5Eo=254%5Eo%2B720%5Eo=974%5Eo or
254%5Eo-4%2A360%5Eo=254%5Eo-1440%5Eo=-1186%5Eo
are also coterminal with 254%5Eo .