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C. If two angles form asupplementary,then they

User Omerjerk
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When two angles are vertically opposite then they are equal. Then, since the angles 1 and 3 are vertically opposite they are equal. Then


<3=67^(\circ)

From the figure we see that we have four angles. Using the vertically opposite property we mentioned before, we have that


\begin{gathered} x+y=x+60 \\ 2x=y+20 \end{gathered}

This is a system of equations, to solve it. Let's solve the first one for y.


\begin{gathered} x+y=x+60 \\ y=x+60-x \\ y=60 \end{gathered}

Once we have the value of y, we plug it in the second equation. Then


\begin{gathered} 2x=y+20 \\ 2x=60+20 \\ 2x=80 \\ x=(80)/(2) \\ x=40 \end{gathered}

User Tuli
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