find the next two positive and negative angles coterminal with the quadrantal angle.

90 degrees.

I am really confused, what would the two positive and two least negative numbers be? i know it you add or subtract 360.

I think you would just add and subtract multiples of 360° to end up in the same postion (coterminal)

coterminal with 90° in the positive direction:
450° and 810°
in the negative direction:
-270° and -630°

Find the next two positive and two negative angles that are coterminal with the given quadrantal angle.

angle -630

To find the positive coterminal angles, you can add multiples of 360 degrees to the given angle. For the quadrantal angle of 90 degrees, you would add 360 degrees to it.

Positive coterminal angles:
90 degrees + 360 degrees = 450 degrees
90 degrees + 2(360 degrees) = 810 degrees

To find the negative coterminal angles, you subtract multiples of 360 degrees from the given angle.

Negative coterminal angles:
90 degrees - 360 degrees = -270 degrees
90 degrees - 2(360 degrees) = -630 degrees

Therefore, the two positive coterminal angles with the quadrantal angle of 90 degrees are 450 degrees and 810 degrees, while the two negative coterminal angles are -270 degrees and -630 degrees.

Assistance needed.