[tex]2(3x + 36) + 2(54) = 360 \\ vertically \: opposite \: angles \: are \: equal \\ and \: sum \: of \: all \: angles \: in \: \: a \\ \: circle \: is \: 360 \: degrees. \\ taking \: out \: 2 \: which \: i s\: common \: \\ 2(3x + 36 + 54) = 360 \\ dividing \: by \: 2 \: on \: both \: sides \: we \: get\\ 3x + 90 = \frac{360}{2} \\ 3x + 90 = 180 \\ taking \: out \: 3 \: which \: is \: common \\ 3(x + 30) = 180 \\ dividing \: by \: 3 \: on \: both \: sides \: we \: get \\ x + 30 = \frac{180}{3} \\ x + 30 = 60 \\ x = 60 - 30 \\ x = 30[/tex]
