Question 1045104
x - larger angle
y - smaller angle

complementary angle = 90 degrees

x + y = 90 (1st equation)

measure of one of two complementary angles means "y"
 is means "equal"
6 degrees less than one half the measure of the other means  ".5x-6"

y = .5x - 6 (2nd equation)

Using substitution method:

x + .5x - 6 = 90
1.5x = 96

x = 64 degrees

y = .5(64)-6

y = 26 degrees (smaller angle)