Sketch angle in standard position and draw an arrow representing the correct amount of rotation. Find the measurement of the other two angles, one positive and one negative, that are coterminal with the given angle and closer to the given angle than any other coterminal angle. Give the quadrant of the angle, if applicable. \[ \mathrm{A}=112^{\circ} \]

Step 1 ：Given angle A = 112 degrees.

Step 2 ：Find the positive coterminal angle by adding 360 degrees to the given angle: 112 + 360 = 472 degrees.

Step 3 ：Find the negative coterminal angle by subtracting 360 degrees from the given angle: 112 - 360 = -248 degrees.

Step 4 ：Determine the quadrant of the given angle. The given angle is 112 degrees which lies in the second quadrant (90 to 180 degrees).

Step 5 ：Final Answer: The positive coterminal angle with 112 degrees is \(\boxed{472}\) degrees and the negative coterminal angle is \(\boxed{-248}\) degrees. The given angle lies in the \(\boxed{second}\) quadrant.