When two angles are complementary, their measures add up to 90 degrees. Given the angles are (x−6)° and (3x+3)°, we can write the equation as follows:
\[ (x - 6) + (3x + 3) = 90 \]
Now, combine like terms:
\[ x - 6 + 3x + 3 = 90 \]
This simplifies to:
\[ 4x - 3 = 90 \]
To isolate the variable, you would add 3 to both sides:
\[ 4x = 93 \]
Therefore, the simplified equation derived from the angles being complementary is:
\[ 4x - 3 = 90 \]
Thus, the correct response is:
4x°−3°=90°
So, in response format:
left parenthesis 4 x minus 3 right parenthesis degrees equals 90 degrees