Two angles are complementary. one angle has a measure of 40 and the other has a measure of (8x + 2) what is the value of x
A. 50
B. 11
C. 60
D. 6
Since two angles are complementary, their measures add up to 90 degrees.
Let's set up an equation to solve for x:
40 + (8x + 2) = 90
Combine like terms:
8x + 42 = 90
Subtract 42 from both sides:
8x = 48
Divide both sides by 8:
x = 6
Therefore, the value of x is 6.
The answer is D. 6.