A figure shows two adjacent angles with measures (x−6)°

Question

and (3x+3)°
. If the angles are complementary, what is the simplified equation for the angles?(1 point)
Responses

4x°+3°=90°
left parenthesis 4 x plus 3 right parenthesis degrees equals 90 degrees

2x°−3°=90°
left parenthesis 2 x minus 3 right parenthesis degrees equals 90 degrees

2x°+3°=90°
left parenthesis 2 x plus 3 right parenthesis degrees equals 90 degrees

4x°−3°=90°

Answer 1

Two angles are complementary if the sum of their measures equals 90 degrees. Given the angles (x−6)° and (3x+3)°, we can set up the equation:

\[ (x - 6) + (3x + 3) = 90 \]

Now, simplify the left side:

\[ x - 6 + 3x + 3 = 90 \]

Combine like terms:

\[ 4x - 3 = 90 \]

Thus, the simplified equation for the angles is:

\[ 4x - 3 = 90 \]

This gives us the equation that corresponds to one of the options provided:

4x°−3°=90°.