If EFGH is a parallelogram, what is the value of x?
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Problem
If EFGH is a parallelogram, what is the value of x?
Step-by-step solution
In a parallelogram, consecutive angles are supplementary. Therefore, $\angle F + \angle G = 180^{\circ}$. Given $\angle F = (4x - 2)^{\circ}$ and $\angle G = 34^{\circ}$, we have $(4x - 2) + 34 = 180$. Solving for x: $4x + 32 = 180 \implies 4x = 148 \implies x = 37$.
Answer
37