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

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

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

4x°−3°=90°
left parenthesis 4 x minus 3 right parenthesis degrees equals 90 degrees

2x°+3°=90°

Answer 1

If the two angles are complementary, their measures must add up to 90 degrees. Given the angles \((x - 6)^\circ\) and \((3x + 3)^\circ\), we can write the equation:

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

Simplifying this, we combine like terms:

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

\[ 4x - 3 = 90 \]

So the simplified equation for the angles is:

\[ 4x - 3 = 90 \]

The correct response is:

4x°−3°=90°