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

Feb 5, 2018

Add and subtract one full rotation $\left({360}^{\circ}\right)$ until you get a positive angle or negative angle, respectively.

#### Explanation:

If you have a ${620}^{\circ}$ angle, you could either add ${360}^{\circ}$

${620}^{\circ} + {360}^{\circ} = {980}^{\circ}$

or subtract ${360}^{\circ}$

${620}^{\circ} - {360}^{\circ} = {260}^{\circ}$

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.

${620}^{\circ} - {360}^{\circ} = {260}^{\circ}$

then

${260}^{\circ} - {360}^{\circ} = - {100}^{\circ} \to$ a negative coterminal angle

Hope this helps!