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If mZF = (6x + 7) and m_H = (9x - 14), then solve for mZF if the two angles areAlternate Interior Angles.
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If mZF = (6x + 7) and m_H = (9x - 14), then solve for mZF if the two angles areAlternate Interior Angles.

User Mostlytech
by
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1 Answer

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if the two angles are Alternate Interior Angles. then:


\begin{gathered} m\angle F=m\angle H \\ \text{Where:} \\ m\angle F=6x+7 \\ m\angle H=9x-14 \\ 6x+7=9x-14 \\ \text{Solving for x:} \\ 7+14=9x-6x \\ 21=3x \\ (21)/(3)=x \\ 7=x \\ x=7 \end{gathered}

So:


m\angle F=6x+7=6(7)+7=42+7=49

User Demarchisd
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