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Step1: Recall the property of angles in a semicircle
An angle inscribed in a semicircle is a right angle. So, $\angle GFP = 90^{\circ}$.
Step2: Use the angle - sum property of a triangle
In $\triangle GFP$, we know that the sum of angles in a triangle is $180^{\circ}$. Let the unknown angle be $x$. Then $x+56^{\circ}+90^{\circ}=180^{\circ}$.
Step3: Solve for the unknown angle
$$
LATEXBLOCK0
$$
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$34^{\circ}$