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Math·Geometry and Trigonometry·Lines, angles, and triangles

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Triangle QRS is similar to triangle FGH such that Q, R, and S correspond to F, G, and H, respectively. Each side of triangle FGH has the length of its corresponding side in triangle QRS times $\frac{1}{4}$. In triangle FGH, the measure of angle F is $35^{\circ }$, the measure of angle G is $b^{\circ }$, the measure of angle H is $105^{\circ }$, and $FG=5$. In triangle QRS, $QR=20$.

What is the value of $b$?

1

40