Answer:
Option B.
Step-by-step explanation:
When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:
B = A + n*360°
Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).
Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.
Then we can do:
for the positive one, use n = 1.
B = 117° + 1*360° = 477°
For the negative one, use n = -1
B = 117° - 1*360° = -243°
Then the two angles are 477° and -243°
The correct option is B.
