Answer
$105^{\circ}; 105^{\circ}$
Work Step by Step
As alternate exterior angles are equal, $(4x+5)^{\circ}=(6x-45)^{\circ}$
$\implies (5+45)^{\circ}=6x-4x=2x$ or $x=25^{\circ}$
Therefore, the angle measures are $(4\times25+5)^{\circ}=105^{\circ}$ and $(6\times25-45)^{\circ}=105^{\circ}$
