The given angles are correspoding angles because they are at the same side of the transversal and one is interior to the parallels and the other one is exterior to the parallel.
By corresponding angles, we can deduct that these angles are congruent
[tex]17x+1=18x-6[/tex]
We solve for x
[tex]\begin{gathered} 1+6=18x-17x \\ x=7 \end{gathered}[/tex]
To find each angle, we use the x-value.
[tex]17x+1=17\cdot7+1=120[/tex]
Hence, each angles measures 120°.
