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)

Question

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

(7x+1)°=90°
left parenthesis 7 x plus 1 right parenthesis degrees equals 90 degrees

(1x+1)°=180°

Pls get it right

Answer 1

To determine the simplified equation corresponding to the measures of the angles, we first note that two angles are complementary if their measures add up to 90 degrees.

Given the angles \(3x^\circ\) and \((4x + 1)^\circ\), we can set up the equation:

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

Now, simplifying the left side:

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

Thus, the equation that corresponds to the measures of the angles is:

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

So the correct option is:

(7x+1)°=90°