# How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with 350^circ?

Apr 20, 2017

Check the explanation below and ask any questions if you have them! Hope this helps!

#### Explanation:

Coterminal angles have different degrees, but they all have their initial side on the positive x-axis (it goes this way$\to$) and share the same terminal side - hence the term "coterminal."

Coterminal angles differ by ${360}^{\circ}$. Therefore, we only need to add/subtract ${360}^{\circ}$ to get our positive/negative coterminal angle measures.

Once this is known, it is easy to find a positive coterminal angle:

${350}^{\circ} + {360}^{\circ} = {710}^{\circ}$

Finding a negative coterminal angle becomes trickier.

${350}^{\circ} - {360}^{\circ}$

$= - \left({360}^{\circ} - {350}^{\circ}\right)$

$= - {10}^{\circ}$