using thereoms/postulates, we know that the 60° angle and the (5z - 85)° angle are congruent
so to first find z.. [tex]60 = 5z - 85[/tex] [tex]145 = 5z[/tex] [tex]29 = z[/tex]
now that we know z, we can find x simply replace the z in (5z - 85) with 29 and add the entire angle to x to equal 180 (supplementary angles) [tex](5(29) - 85) + x = 180[/tex] [tex](145 - 85) + x = 185[/tex] [tex]60 + x = 185[/tex] [tex]x = 125[/tex]
