Final answer:
The measure of the angle formed by intersecting lines for two reflections and 84-degree rotation is 42 degrees.
Step-by-step explanation:
The question involves finding the measure of the acute or right angle formed by the intersecting lines that allows object C to be mapped to C' using two reflections and a rotation of 84 degrees. The measure of the angle formed by the intersecting lines in such a scenario would be twice the angle of rotation divided by the number of reflections. Since a single reflection would map C to a point that is rotated 84 degrees from its original position, the lines must be set at half of 84 degrees. Therefore, the correct answer is 42 degrees, which corresponds to half of the rotation angle. This is because when reflecting an object across two lines to rotate it by a certain angle, the angle between the lines must be half of the rotation angle.