Parrallel lines q and r are intersected by transversals k and m what is the value of x

In the figure, it appears that Angle x and an angle composing two angles 39° and 52° are pairs of corresponding angles.
As a rule of corresponding angles, the pairs should be congruent. Therefore, we can say that the x is equal to,
[tex]\text{ }\angle x=39^{\circ}+52^{\circ}[/tex][tex]\angle x=91^{\circ}[/tex]Therefore, x = 91°.
Note: This rule, can only be used at parallel lines being intersected by a transversal.