Two angles are complementary. One angle has a measure of 40 degrees and the other has a measure of (8x + 2) degrees. What is the value of x?

Question

A. 50
B. 6
C. 60
D. 11

Answer 1

Let's set up the equation for complementary angles:

40 + (8x + 2) = 90

Combine like terms:

8x + 42 = 90

Subtract 42 from both sides:

8x = 48

Divide by 8:

x = 6

Therefore, the value of x is 6. So, the answer is B. 6.