Answer :—
[tex]\sf{\longrightarrow x = 20}[/tex]
[tex]\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{m||n} & \\ \\\sf{a\:transvey\:l\:passes\: through\:m\:and\:n}& \\ \\ \sf{two \:angles = (7x-3)°\:and\:(6x+17)°}&\end{cases}\\\\\end{gathered} [/tex]
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➠ Using the property of adjacent angles and vertically opposite angles , we have :
[tex]\sf{\longrightarrow (7x-3)=(6x+17)}[/tex]
[tex]\sf{\longrightarrow 7x-3-6x-17=0}[/tex]
[tex]\sf{\longrightarrow 7x-6x-3-17=0}[/tex]
[tex]\sf{\longrightarrow x-20=0}[/tex]
[tex]\sf{\longrightarrow x=20}[/tex]
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