The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.

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°