How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with $50^circ$ ?

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Answer 1 · 2018-02-17T09:32:29

$A_c = A + k xx 360^o$
$A_c = 50 + 360^o = 410^o$ (or $50^o$ ) and
$A_c = 50 - 360^o = -310^o$

Coterminal angles $A_c$ to angle A may be obtained by adding or subtracting $k xx 360$ degrees or $k xx (2 Pi)$ . Hence,

$A_c = A + k xx 360^o$ if A is given in degrees.

or

$A_c = A + k xx (2pi)$ if A is given in radians.

where k is any negative or positive integer.

How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with 50^circ50^circ?