Question

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

Answer 1

if the two angles are Alternate Interior Angles. then:

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

So:

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