Question

Are the following triangles similar? If so state the reason.

not similar
yes by SAS
yes by SSS
yes by AA​

Answer 1

yes by AA. verticals angles are congruent (XNS&YNO) and angles DYN and SXN are given to be congruent.

Answer 2

yes by aa similarity.

angle sxn=nyd [given]

angle snx= ynd [by vertically opposite angle]