Answer: To find the measure of angle 4, we need to use the definition of complementary angles. Complementary angles are two angles whose sum is 90 degrees. Therefore, if angle 3 is a complement of angle 4, then we can write:
angle 3 + angle 4 = 90 degrees
We are given that the measure of angle 3 is 46 degrees, so we can substitute this value in the equation and solve for the measure of angle 4:
46 + angle 4 = 90
angle 4 = 90 - 46
angle 4 = 44
Hence, the measure of angle 4 is 44 degrees.