Question

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.

Answer 1

117,90,90,127

Explanation:

Answer 2

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°