Question

If a negative angle has a measure x degrees between 0 degrees and -60 degrees, how can we represent the first positive angle coterminal with it?

A) -x degrees
B) 360 - x degrees
C) 60 + x degrees
D) 60 - x degrees

Answer 1

To find the first positive angle coterminal with a negative angle in the given range, add 360 degrees to the negative angle. Hence, B) is correct.

Step-by-step explanation:

To find the first positive angle coterminal with a negative angle of x degrees between 0 degrees and -60 degrees, we can add 360 degrees to that negative angle.

This is because adding 360 degrees will bring us back to the same angle in the positive direction. So, the first positive angle coterminal with the given negative angle is 360 - x degrees.