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

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

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

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

(7x+1)°=90°

Answer 1

To determine the correct equation that represents the measures of the angles given that they are complementary, we start with the definitions.

Complementary angles add up to 90 degrees. The two angles are given as:

1. \( 3x^\circ \)
2. \( (4x + 1)^\circ \)

Since these angles are complementary, we can write the equation:

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

Now, let's simplify this:

1. Combine like terms: \( 3x + 4x + 1 = 90 \)
2. This simplifies to: \( 7x + 1 = 90 \)

Thus, the corresponding simplified equation is:

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

So, the correct response from the options provided is:

(7x + 1)° = 90°.