A figure displays two nonadjacent angles with measures 3x°

Question

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

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

(1x+1)°=180°

Answer 1

To determine the correct equation corresponding to the measures of the angles, we need to go over the definition of complementary angles. Complementary angles are two angles whose measures add up to 90°.

Given that the angles are \(3x^\circ\) and \((4x + 1)^\circ\), we need to set up the equation as follows:

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

Simplifying the left side, we combine like terms:

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

So, the simplified equation is:

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

Thus, the correct response is:

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