Question

find the angle of rotation that maps a onto a.
the angle of rotation is \\(\square\\) °.

Explanation:

Step1: Identify rotation angle property

The angle between lines k and m is 55°. The rotation angle mapping A to A'' is twice the angle between the intersecting lines (axes of reflection, as A→A'→A'' is two reflections).

Step2: Calculate rotation angle

Multiply the angle between lines by 2: $55^\circ \times 2 = 110^\circ$.

Answer:

110