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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