Respuesta :

Given:

The figure of two parallel lines MP and QS.

A transversal line KL interests the two parallel lines.

[tex]m\angle KNM =146^\circ[/tex]

To find:

The [tex]m\angle KRQ[/tex].

Solution:

If a transversal line intersect the two parallel lines, then the corresponding angles are congruent and their measures are equal.

In the given figure [tex]\angle KRQ[/tex] and [tex]\angle KNM [/tex] corresponding angles. It means their measures are equal.

[tex]m\angle KRQ=m\angle KNM[/tex]

[tex]m\angle KRQ=146^\circ[/tex]

Therefore, [tex]m\angle KRQ=146^\circ[/tex].