What is the combined angle of a 40° clockwise rotation followed by a 60° counterclockwise rotation around the same center point?
To find the combined angle of rotations, we need to consider the directions and magnitudes of the rotations.
In this case, we have a 40° clockwise rotation followed by a 60° counterclockwise rotation.
First, let's consider the clockwise rotation. Clockwise rotations are negative, so we can denote the 40° clockwise rotation as -40°.
Next, let's consider the counterclockwise rotation. Counterclockwise rotations are positive, so we can denote the 60° counterclockwise rotation as +60°.
To find the combined angle, we add the two rotations together: -40° + 60° = 20°.
Therefore, the combined angle of a 40° clockwise rotation followed by a 60° counterclockwise rotation is 20°.