We have been given image of two triangles. We are asked to find the angle in the image corresponds to ∠X in the pre-image.
We know that a refection gives us mirror image of the point or object we are reflecting. The line of reflection which in this case is y-axis acts as a mirror. Line of reflection is equidistant from object 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 X[/tex] corresponds to [tex]\angle L[/tex], [tex]\angle Y[/tex] corresponds to [tex]\angle M[/tex], and [tex]\angle Z[/tex] corresponds to [tex]\angle N[/tex].
Therefore, angle L in the image corresponds to angle X in the pre-image and 1st option is the correct choice.
