In the given figure, \( A B \| C D \) and \( E F \) is a transversal, cutting them at \( G \) an...

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In the given figure, \( A B \| C D \) and \( E F \) is a transversal, cutting them at \( G \) and \( H \) respectively. If \( \angle E G B=35^{\circ} \) and \( Q P \perp E F \), find the measure of \( \angle P Q H \).
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