Question

3. In Fig. 6.15. PQR = PRQ. then prove that
PQS = PRT​

Answer 1

Question 3. In Fig. 6.15, ∠ PQR  =  ∠ PRQ, then prove that

∠ PQS  =  ∠ PRT.

Answer 2

Question :-

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

Answer :-

ST is a straight line.

∴ ∠PQR + ∠PQS = 180° …(1) [Linear pair]

Similarly, ∠PRT + ∠PRQ = 180° …(2) [Linear Pair]

From (1) and (2), we have

∠PQS + ∠PQR = ∠PRT + ∠PRQ

But ∠PQR = ∠PRQ [Given]

∴ ∠PQS = ∠PRT

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