The correct option is option A. [tex]KN=MN[/tex].
Given, [tex]\angle KNM[/tex] is [tex]130^\circ[/tex], [tex]\angle NMK[/tex] is [tex]25^\circ[/tex] and [tex]\angle MKN[/tex] is [tex]25^\circ[/tex].
We have to find the true statement about their sides.
We know that, the sides opposite to equal angles of a triangle will always be equal.
Applying the above property of triangle here, we get
Since,
[tex]\angle NMK=\angle MKN[/tex]
So, [tex]KN=MN[/tex]
Hence the correct option is option A. [tex]KN=MN[/tex].
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