Thank you for the opportunity to help you with your question!

The triangles are not similar. The 3 angles in a triangle must add to 180. The first triangle must have 51+x+37=180. Subtract 51 and 37 from both sides and x=92. The second triangle 51+90+y=180. Subtract 51 and 90 from both sides so y=39.

For similar triangles all 3 angles must have the same values. 51,37,92(first triangle's angles) is different from 51,39,90(second triangle's angles).

Thus, they are not similar.

Please let me know if you need any clarification. I'm always happy to answer your questions.