Answer:
Being both triangles similar, the angles S and O must be congruent.
Step-by-step explanation:
The SAS or Side-Angle-Side Theorem
Two triangles are similar if two of the sides are proportional and the included angle, or the angle between those sides, is the same.
We are given that:
* Angle SPT is congruent with angle OPT
* Side SP is congruent with side OP
* Both triangles share the same side TP
This makes both triangles to be similar according to the SAS theorem: Sides SP and TP and included angle SPT correspond to sides OP and TP, and included angle OPT.
Being both triangles similar, the angles S and O must be congruent.
