Given the triangles : HGF and HTS
As shown in the figure :
m∠ STH = m∠ FGH = 61
m∠ THS = m∠ GHF ( because they are vertex angles so, they are congruent )
So, the triangles are similar By AA ( angl - angle )
So, the answer is option 1. yes , similar by AA. HGF ~ HTS