A negative angle greater than $$ -360^{\circ} $$ that is coterminal to $$ 310^{\circ} $$ is $$ \square^{\circ} $$.

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UpStudy AI · Accepted Answer

1. Two angles are coterminal if their difference is an integer multiple of $$360^{\circ}$$. This means we can write:
   $$
   \theta = 310^{\circ} + 360k \quad \text{for some integer } k.
   $$

2. We seek a negative angle $$ \theta $$ such that $$-360^{\circ} < \theta < 0^{\circ}$$. Testing $$ k = -1 $$:
   $$
   \theta = 310^{\circ} - 360^{\circ} = -50^{\circ}.
   $$

3. Since $$-50^{\circ}$$ lies between $$-360^{\circ}$$ and $$0^{\circ}$$, it is the required negative angle.

Thus, the negative angle coterminal to $$310^{\circ}$$ is $$-50^{\circ}$$.
A negative angle coterminal to $$310^{\circ}$$ is $$-50^{\circ}$$.

A negative angle greater than that is coterminal to is .

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