Final answer:
A 145 degree angle of rotation lies in the second quadrant, which covers angles from 90° to 180°.
Step-by-step explanation:
A 145 degree angle of rotation will lie in the quadrant II of the coordinate system. The coordinates are divided into four quadrants, with quadrant I covering angles from 0° to 90°, quadrant II covering angles from 90° to 180°, quadrant III from 180° to 270°, and quadrant IV from 270° to 360°. Thus, since 145° is between 90° and 180°, it is in the second quadrant.