We have been given that [tex]\bigtriangleup LMN[/tex] is reflection image of [tex]\bigtriangleup XYZ[/tex] across the y-axis and we have to find which angle from the given image corresponds to [tex]\angle Z[/tex] .
We know that a refection gives us mirror image of the point or object we are reflecting and line of reflection which in our case is y-axis acts as a mirror. Line of reflection is equidistant from object or point and its image.
Now let us look at our given image. After looking at our image we see that y-axis is halfway between X and L,Y and M and also Z and N.
We can see that [tex]\angle Z[/tex] corresponds to [tex]\angle N[/tex]. So our answer is [tex]\angle N[/tex].
