When an angle is rotated, its measure remains unchanged; only its orientation changes.

To find the new orientation of the 113-degree angle after a 180-degree clockwise rotation, subtract the angle from 360 degrees (because a full circle is 360 degrees):

$360^\circ - 113^\circ = 247^\circ$

Therefore, after rotating the 113-degree angle by 180 degrees clockwise, the new angle is $247^\circ$.

Would you like more details or have any questions?

Here are 5 related questions:

1. How would the angle change with a 90-degree clockwise rotation instead?
2. What happens if the rotation is counterclockwise instead of clockwise?
3. How do you determine the orientation of angles in different quadrants of a circle?
4. How does an angle's complement and supplement relate to its rotation?
5. What is the significance of an angle's reference angle?

Tip: Rotating an angle by 180 degrees effectively moves it to the opposite direction, which is equivalent to adding or subtracting 180 degrees from its original measure.