Question

What is the value of y?A. y = 76.B.y = 60.C.y = 7.D.y = 10

Answer 1

Notice that the 76° angle and the angle that has an expression for y are vertically opposite. Thereby,

$76=7y+6$

Solving for y,

$\begin{gathered} 76=7y+6 \\ \rightarrow76-6=7y \\ \rightarrow70=7y\rightarrow\frac{70}{7}=y \\ \Rightarrow y=10 \end{gathered}$

This way, y = 10

Ans: Option D