Respuesta :

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.