Final answer:
Angles (A) -405 degrees and (B) 315 degrees are coterminal with -45 degrees because they differ from -45 degrees by a multiple of 360 degrees.
Step-by-step explanation:
Two angles are coterminal if they differ by a full rotation of 360 degrees or a multiple of 360 degrees. To determine if the given angles are coterminal with -45 degrees, we add or subtract 360 degrees and see if we arrive at our provided options.
- -45 degrees + 360 degrees = 315 degrees
- -45 degrees - 360 degrees = -405 degrees
Thus, the angles that are coterminal with -45 degrees are (A) -405 degrees and (B) 315 degrees. Options (C) -135 degrees and (D) 495 degrees are not coterminal with -45 degrees as they do not differ by an exact multiple of 360 degrees from -45 degrees.