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

1 Answer
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->) and share the same terminal side - hence the term "coterminal."

Coterminal angles differ by 360^@. Therefore, we only need to add/subtract 360^@ to get our positive/negative coterminal angle measures.

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

350^@+360^@=710^@

Finding a negative coterminal angle becomes trickier.

350^@-360^@

=-(360^@-350^@)

=-10^@