Answer:
see the explanation
Step-by-step explanation:
we know that
The Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent
Remember that if two triangles are congruent, then its corresponding angles and its corresponding sides are congruent
In this problem
PO≅SO ----> given problem
NO≅TO ----> because O is the midpoint NT
∠PON≅∠SOT -----> by vertical angles
so
two sides and the included angle of triangle PON are congruent to two sides and the included angle of triangle SOT
therefore
Triangles PON and SOT are congruent by SAS
hence
∠N≅∠T ----> by definition of congruence (corresponding angles are congruent)
