Please help! Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.
In rotation, the angles and side lengths of the original figure are preserved. When we rotate this figure anticlockwise by 45°, we see that the corresponding angles become: A = G = 117° B = H = 90° C = I = 127° D = J = 90° E = F = 127°