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Two angles are complementary when they add up to 90 degrees.
Given that one angle is 40° and the other is (8x + 2)°, we can set up an equation:
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.