Respuesta :

Since the given two angles are complementary, then

The sum of their measures is 90 degrees

Add the two angles and equate their sum by 90 degrees

[tex]3y-4+73^{\circ}=90^{\circ}[/tex]

Add the like terms on the left side

[tex]\begin{gathered} 3y+(-4+73)=90 \\ 3y+69=90 \end{gathered}[/tex]

Subtract 69 from both sides

[tex]\begin{gathered} 3y+69-69=90-69 \\ 3y=21 \end{gathered}[/tex]

Divide each side by 3

[tex]\begin{gathered} \frac{3y}{3}=\frac{21}{3} \\ y=7 \end{gathered}[/tex]

The value of y is 7