When a figure is rotated, the measures of the angles within the figure remain unchanged. Therefore, if the measures of the two angles in Figure A are 65 degrees and 115 degrees, these angles will still measure 65 degrees and 115 degrees after the figure is rotated.

Rotation does not affect the magnitude of angles; it only changes the orientation of the figure.

Would you like more details or have any questions? Here are five related questions to explore:

1. What happens to the side lengths of a triangle when it is rotated?
2. How does the rotation of a figure affect its overall shape?
3. Can the orientation of angles in a figure affect calculations involving those angles?
4. What are some common rotation angles used in geometry, and how do they affect figures?
5. How would the angle measures be affected if the figure were reflected instead of rotated?

Tip: When dealing with transformations in geometry, remember that rotations preserve both the angles and the side lengths of figures, making them isometries.