(a) Sketch $\theta=225^{\circ}$ in standard position. Then sketch an angle between $-360^{\circ}$ and $0^{\circ}$ that is coterminal with $\theta$.

Step 1 ：Sketch the angle \(\theta=225^\circ\) in standard position.

Step 2 ：Find a coterminal angle in the range -360 to 0 degrees by subtracting 360 degrees from the given angle until we get an angle in this range.

Step 3 ：Perform the calculation: \(225^\circ - 360^\circ = -135^\circ\)

Step 4 ：The coterminal angle with \(\theta=225^\circ\) in the range -360 to 0 degrees is \(\boxed{-135^\circ}\)