Final answer:
The positive coterminal angle with 20° is 380°, and the negative coterminal angle with 20° is -340°. These are found by adding or subtracting 360° to the original angle.
Step-by-step explanation:
To find two angles, one positive and one negative, that are coterminal with 20°, we must add or subtract multiples of 360° (a complete circle) from the original angle. Since 20° + 360° equals 380° and 20° - 360° equals -340°, we have found a positive angle (380°) and a negative angle (-340°) that are coterminal with 20°. These angles represent the same position as 20° in standard position on a circle.
Therefore, the correct answers are:
- Positive coterminal angle: 380° (Option A)
- Negative coterminal angle: -340° (Option B)