examday

/TMUA

The lines $\ell_1$ and $\ell_2$ are parallel, with $\ell_1$ above $\ell_2$. A point $P$ lies in the region between them. The segment $PA$ meets $\ell_1$ at $A$, and the acute angle between $PA$ and $\ell_1$ has supplement $116^\circ$. The segment $PB$ meets $\ell_2$ at $B$, and $PB$ makes an angle of $37^\circ$ with $\ell_2$. The line through $P$ parallel to $\ell_1$ and $\ell_2$ lies inside the angle $APB$. Find the size, in degrees, of the angle $APB$.