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To find the value of x, we can set up an equation using the fact that complementary angles add up to 90°.
The given angle measures are 40° and (8x+2)°.
So, we can write the equation: 40 + (8x+2) = 90
Simplifying the equation, we get: 8x + 42 = 90
Subtracting 42 from both sides of the equation: 8x = 48
Dividing both sides of the equation by 8: x = 6
Therefore, the value of x is 6.