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Solve for x.ܐܐܢ2x + 20 2x - 4+x == [?]

Solve for x.ܐܐܢ2x + 20 2x - 4+x == [?]-example-1

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ANSWER

x = 41

Step-by-step explanation

The given angles are supplementary, so their measures add up to 180°,


(2x+20)+(2x-4)=180

Now we have an equation for x. First, add like terms,


\begin{gathered} (2x+2x)+(20-4)=180 \\ 4x+16=180 \end{gathered}

Then subtract 16 from both sides of the equation,


\begin{gathered} 4x+16-16=180-16 \\ 4x=164 \end{gathered}

And finally, divide both sides by 4,


\begin{gathered} (4x)/(4)=(164)/(4) \\ x=41 \end{gathered}

Hence, x = 41.

User Dfmetro
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