Answer:
A. 440°, -280°
B. 17π/6, -7π/6
Explanation:
You want angles coterminal with the given angle, one with a positive sign, and one with a negative sign.
Coterminal angles
Adding an integer multiple of 360° = 2π radians to any angle will give the measure of a coterminal angle.
A. 80°
A positive coterminal angle is ...
80° +360° = 440°
A negative coterminal angle is ...
80° -360° = -280°
B. 5π/6
A positive coterminal angle is ...
5π/6 +2π = 17π/6
A negative coterminal angle is ...
5π/6 -2π = -7π/6
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Additional comment
We have used the smallest multiples of 1 full rotation around the origin. You could choose others. For example, adding 3600° to the first angle will give 3680° as a positive angle coterminal with 80°.
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