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?(1 point)
Responses
A. 6
6
B. 50
50
C. 60
60
D. 11
The two angles are complementary, meaning that the sum of their measures is 90 degrees. We can set up an equation to solve for x:
40 + (8x+2) = 90
Simplifying the equation:
8x + 42 = 90
Subtracting 42 from both sides:
8x = 48
Dividing both sides by 8:
x = 6
The value of x is 6, so the answer is A. 6