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The angles 1 and 5 have the same measure, since they are corresponding angles.
Then:
[tex]m\angle5=123^{\circ}[/tex]The angles 5 and 6 are supplementary angles, this means that their measures add up to 180°. Then:
[tex]\begin{gathered} m\angle5+m\angle6=180 \\ \Rightarrow123+m\angle6=180 \end{gathered}[/tex]Substract 123 from both sides of the equation:
[tex]\begin{gathered} m\angle6=180-123 \\ =57 \end{gathered}[/tex]Therefore, the measure of the angle 6 is 57°.
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