Soru

In the geometric plane, line $k$ is parallel to line $m$ ($k \parallel m$). Transversal line $t$ intersects line $k$ at point $A$ and line $m$ at point $B$. Point $C$ lies on line $k$ to the left of $A$, such that interior acute angle $\angle CAB = (3x - 10)^\circ$. Ray $AD$ bisects $\angle CAB$. Ray $BF$ is drawn into the region between lines $k$ and $m$ making an angle $\angle ABF = (x + 35)^\circ$ with transversal segment $AB$. Ray $AD$ and ray $BF$ intersect at point $P$ inside the parallel region. Line $PB$ is extended past $P$ to intersect line $k$ at point $Q$. If ray $AD$ is perpendicular to ray $BF$, what is the measure of the obtuse angle formed at the intersection of line $QB$ and line $k$?