In which quadrant does (360∘−x)
lie, if x
is an acute angle?
Since x is an acute angle, it will lie in the first quadrant (0° to 90°).
If we subtract x from 360°, we are essentially finding the complementary angle of x. This means that (360° - x) will also be an acute angle, but it will be in the fourth quadrant (270° to 360°).
Therefore, (360° - x) will lie in the fourth quadrant if x is an acute angle.