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)°=90°
left parenthesis 7 x plus 1 right parenthesis degrees equals 90 degrees
(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°
1 answer
If the two angles are complementary, it means that their measures add up to 90 degrees. The measures of the angles are given as \( 3x \) and \( 4x + 1 \).
Therefore, the equation that represents the relationship between the two angles is:
\[ 3x + (4x + 1) = 90 \]
Simplifying this equation:
\[ 3x + 4x + 1 = 90 \] \[ 7x + 1 = 90 \]
Thus, the correct simplified equation corresponding to the measures of the angles is:
\((7x + 1)° = 90°\)
