It's helpful to choose letters to represent the measures of these complementary angles. Let x represent one and y the other.
What does "complementary angle" mean? x + y = ??
Let x be the smaller angle. First, we take "half the measure of the larger angle," or (y/2). Then we subtract 6 degrees from this result (y/2). The result is the xmaller angle, x.
Now you have two equations in x and y. Solve for one of these angles, and then find the other. Please show your work.