Question

in the adjoining figure prove that RPQ equals to RTS​

Answer 1

In triangles RPQ and RTS, we have

∠RPQ=∠RTS [Given]

∠PRQ=∠TRS [Each equal to R]

Therefore, by AA-criterion of similarity, we have

△RPQ∼△RTS. [Hence proved]

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Answer 2

Answer:

In triangles RPQ and RTS, we have

            ∠RPQ=∠RTS           [Given]

            ∠PRQ=∠TRS           [Each equal to R]

Therefore, by AA-criterion of similarity, we have  

            △RPQ∼△RTS.             [Hence proved]