For the rotation $-{652}^{\circ }$, find the coterminal angle from $0^{\circ }\le \theta <{360}^{\circ }$, the quadrant, and the reference angle.

Step 1 ：Given the angle is -652 degrees.

Step 2 ：Add 360 degrees to the given angle until the result is within the range 0 to 360 degrees. This gives us the coterminal angle. So, $-{652}^{\circ }+2\times {360}^{\circ }={68}^{\circ }$.

Step 3 ：The coterminal angle is 68 degrees, which lies in the first quadrant. So, the quadrant is 1.

Step 4 ：The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. Since the coterminal angle is in the first quadrant, the reference angle is equal to the coterminal angle. So, the reference angle is 68 degrees.

Step 5 ：Final Answer: The coterminal angle from $0^{\circ }\le \theta <{360}^{\circ }$ for the rotation $-{652}^{\circ }$ is $\boxed{{\displaystyle {68}^{\circ }}}$, the quadrant is $\boxed{{\displaystyle 1}}$, and the reference angle is $\boxed{{\displaystyle {68}^{\circ }}}$.