First, determine how many complete revolutions (360 degrees) divide into 1547 degrees: 1547/360 = 4.297. Then (0.297)(360 degrees) is coterminal with 1547 degrees: 106.92 degrees, or, after rounding up, 107 degrees.
If you'd like to check this, find sin 1547 degrees and sin 107 degrees. The two results should be identical.
