How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with 620^circ?

1 Answer
Feb 5, 2018

Add and subtract one full rotation (360^@) until you get a positive angle or negative angle, respectively.

Explanation:

If you have a 620^@ angle, you could either add 360^@

620^@ + 360^@ = 980^@

or subtract 360^@

620^@-360^@ = 260^@

Since both of these angles are positive co-terminal angles, either one is a correct answer to your question. In order to find a negative coterminal angle, simply keep subtracting until you get a negative number.

620^@-360^@=260^@

then

260^@-360^@=-100^@ -> a negative coterminal angle

Hope this helps!