A figure displays two nonadjacent angles with measures 3x°

and (4x+1)°
. If the angles are complementary, what is the simplified equation corresponding to the measures of the angles?(1 point)
Responses

(7x+1)°=180°
left parenthesis 7 x plus 1 right parenthesis degrees equals 180 degrees

(1x+1)°=90°
left parenthesis 1 x plus 1 right parenthesis degrees equals 90 degrees

(1x+1)°=180°
left parenthesis 1 x plus 1 right parenthesis degrees equals 180 degrees

(7x+1)°=90°

1 answer

Complementary angles are two angles that add up to \(90^\circ\). Given the angles \(3x^\circ\) and \((4x + 1)^\circ\), we can set up the equation:

\[ 3x + (4x + 1) = 90 \]

Simplifying this gives:

\[ 3x + 4x + 1 = 90 \] \[ 7x + 1 = 90 \]

Now, rearranging this gives:

\[ 7x + 1 = 90^\circ \]

Thus, the correct response among the options listed is:

\[ (7x + 1)^\circ = 90^\circ \]

The closest match in the provided responses is:

\[ (7x+1)°=90° \]