Answer: The paragraph proof is mentioned below.
Step-by-step explanation:
Here, Given: ∠TUW ≅ ∠SRW
And, RS ≅ TU
Where W is the intersection point of line segments TS and RU.
We have to prove that: ∠RST ≅ ∠UTS
Since, In triangles TUW and SRW
∠RWS ≅ ∠UWT ( Because they are vertical angles)
RS ≅ TU ( given)
∠TUW ≅ ∠SRW ( given)
Then, by AAS, △TUW ≅ △SRW.
Because of CPCTC, ∠RST ≅ ∠UTS