Question

In Fig. 6.15, Z PQR = Z PRQ, then prove that
PQS = PRT.

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Answer 1

Step-by-step explanation:

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Since ST is a straight line so,

∠PQS+∠PQR = 180° (linear pair) and

∠PRT+∠PRQ = 180° (linear pair)

Now, ∠PQS + ∠PQR = ∠PRT+∠PRQ = 180°

Since ∠PQR =∠PRQ (as given in the question)

∠PQS = ∠PRT. (Hence proved).