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leonid [27]
3 years ago
14

Please help thanks ❗​

Mathematics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The<u><em> Side Angle Side</em></u> 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)

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