A 113-degree angle is rotated 180 degrees clockwise. What is the measure of the angle in the image?

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.

Learn how to calculate the new orientation of a 113-degree angle rotated 180 degrees clockwise. This problem explores key geometry concepts, such as angle measurement and rotation. Suitable for students in Grades 6-8.

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