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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

1 Answer

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(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.

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User Sahil Deliwala
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