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In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? Explain.

In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle-example-1

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Given:


\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}
\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}

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