To find m∠ JFH, let's first consider ∠ GFH. We can see that JG and JH connect the point J with the sides of ∠ GFH. Moreover, they are congruent and perpendicular to the sides.
According to the Converse of the Angle Bisector Theorem, if a point is in the interior of an angle and is equidistant from its two sides, then it lies on the bisector of the angle. This means that FJ forms a bisector of ∠ GFH.
Since an angle bisector divides an angle into two congruent adjacent angles, ∠ JFH≅ ∠ JFG. Therefore, m∠ JFH=47^(∘).
