Final answer:
To find positive and negative coterminal angles, add or subtract multiples of 360° to the given angle. For the angle 137°, a positive coterminal angle would be 497° and a negative coterminal angle would be -223°.
Step-by-step explanation:
To find positive and negative coterminal angles, we add or subtract multiples of 360° to the given angle. For the angle 137°, a positive coterminal angle would be 137° + 360° = 497°. And a negative coterminal angle would be 137° - 360° = -223°.
Therefore, the correct answer is option A) -57° and 237°.