48.7k views
5 votes
Find the value of x in each diagram. 30. (x - 11) (x + 10) 31° (2x - 42)

Find the value of x in each diagram. 30. (x - 11) (x + 10) 31° (2x - 42)-example-1
Find the value of x in each diagram. 30. (x - 11) (x + 10) 31° (2x - 42)-example-1
Find the value of x in each diagram. 30. (x - 11) (x + 10) 31° (2x - 42)-example-2
User Kittonian
by
4.4k points

1 Answer

3 votes

(30) The sum of exterior angles of a parallelogram is 360 degrees. Therefore,


\begin{gathered} (x-11)^{^{}}+(2x-42)+31+x+10=360 \\ 4x-12=360 \\ 4x=360+12 \\ 4x=372 \\ x=(372)/(4)=93 \end{gathered}

The value of x is 93.

User Sahil Deliwala
by
4.6k points