Find the value of x in each diagram. 30. (x - 11) (x + 10) 31° (2x - 42)


(30) The sum of exterior angles of a parallelogram is 360 degrees. Therefore,
[tex]\begin{gathered} (x-11)^{^{}}+(2x-42)+31+x+10=360 \\ 4x-12=360 \\ 4x=360+12 \\ 4x=372 \\ x=\frac{372}{4}=93 \end{gathered}[/tex]The value of x is 93.