How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with 350^circ350∘?

1 Answer
Jill L.
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^@360∘. Therefore, we only need to add/subtract 360^@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^@350∘+360∘=710∘

Finding a negative coterminal angle becomes trickier.

350^@-360^@350∘−360∘

=-(360^@-350^@)=−(360∘−350∘)

=-10^@=−10∘

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