Question

Explain how did angle PQS= angle PRT is proved from this line:- angle PQS = angle PRT= 180°- angle PQR
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Answer 1

Answer:

PQR = PRQ

180-PQR = 180-PRQ

PQS = PRT

Step-by-step explanation:

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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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