Complementary angles are two angles whose measures add up to 90 degrees. Given the measures of the angles as \((x-6)°\) and \((3x+3)°\), we can set up the equation:
\[ (x - 6) + (3x + 3) = 90 \]
Now, let's simplify this:
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Combine like terms: \[ x + 3x - 6 + 3 = 90 \] This simplifies to: \[ 4x - 3 = 90 \]
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Finally, we can express this as: \[ 4x - 3° = 90° \]
So the correct simplified equation for the angles is:
\[ 4x - 3° = 90° \]
Hence, the correct choice is:
4x°−3°=90°