Answer:
Step-by-step explanation:
The sum of two complementary angles is 90.
Let the two angles be x and y.
If x and y are complementary, then x+y = 90
If the larger of two complementary angles is 6 degrees less than 7 times the smaller then y = 7x-6 (y is the larger and x is the smaller)
Substituting y = 7x-6 into the formula above;
x+7x-6 = 90
8x - 6 = 90
8x = 90+6
8x = 96
x = 96/8
x = 12°
Hence the measure of the smaller angle is 12°
