Question

find a positive angle less than 360° that is coterminal with the given angle. - 890° a positive angle less than 360° that is coterminal with - 890° is °.

Explanation:

Step1: Divide by 360

Divide - 890 by 360: $\frac{-890}{360}=-2\frac{170}{360}$.

Step2: Add multiples of 360

We want a positive angle less than 360°. Add 360° multiple - times to - 890°. First, add 360° twice: $-890 + 360\times3=-890 + 1080$.

Step3: Calculate the result

$-890+1080 = 190$.

Answer:

190