Answer
$$370^\circ, -350^\circ$$
Work Step by Step
Angles coterminal to angle $\theta$ are given by $\theta \pm n\times360^\circ$ where n is an integer.
Therefore, an angle coterminal with $10^\circ$ that is positive is
$$10^\circ + (1)360^\circ = 370^\circ$$
and an angle coterminal with $45^\circ$ that is negative is
$$10^\circ - (1)360^\circ = -350^\circ$$
