Are the triangles similar? If yes, write a similarity statement and the theorem or postulate used.

Question

Triangle UGA and FEB. UG = 16. GA = 12. FE = 20. EB = 15. Both have one interior angle of 65. Triangle UGA is upside down and smaller than Triangle FEB.

Answer 1

Yes, the triangles are similar.

Similarity statement: triangle UGA ~ triangle FEB

Theorem or postulate used: Angle-Angle (AA) Similarity theorem