Similar triangles have all three angles that have the same measure. We already know that both of your triangles have an angle that measures 120 deg. We also know that the three angles of any triangle always add up to 180 degrees.
For triangle XYZ, we have to figure out what the measure of angle Z is. <X is 25, <Y is 120; the two added together = 145 deg. To find <Z, subtract: 180 -145 = 35 deg. When you do the same thing to triangle LMN, we find the measure of < L is 15 deg. (You figure that out yourself, by the way I did <Z)
Therefore, no, they are not similar. The angles of XYZ are 25, 120, and 35, and LMN are 45, 120, and 15 deg.
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