Final answer:
Angles A and B are complementary, and Angle A is measured 6 degrees less than 5 times Angle B. The measure of Angle B is 16 degrees, and the measure of Angle A is 74 degrees.
Step-by-step explanation:
In this problem, we are given that Angle A and Angle B are complementary and that Angle A is measured 6 degrees less than 5 times the measure of Angle B.
We can represent the measure of Angle B as x. Since Angle A is 6 degrees less than 5 times Angle B, we can write the equation: A = 5x - 6.
Since Angle A and Angle B are complementary, their measures sum up to 90 degrees. Therefore, we can write the equation: A + B = 90.
Substituting the value of A from the first equation into the second equation, we get:
(5x - 6) + x = 90.
Simplifying this equation, we find that 6x = 96, which means x = 16. Therefore, the measure of Angle B is 16 degrees, and the measure of Angle A is 5(16) - 6 = 74 degrees.
The correct question is: angles a and b are complementary angle a measured 6 degrees less than 5 times the measure of angle b. Find the measure of angle a and angle b.