1.

In the given figure ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.

Answer»

Given that ∠PQR = ∠PRQ 

From the figure 

∠PQR + ∠PQS = 180° ………….. (1) 

∠PRQ + ∠PRT = 180° …………..(2) 

From (1) and (2) 

∠PQR + ∠PQS = ∠PRQ + ∠PRT 

But ∠PQR = ∠PRQ So ∠PQS = ∠PRT 

Hence proved.



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