Math, asked by jungkookjk7, 7 months ago

angle POR =angle PRQ , then prove that angle PQS = anglePRT

Answers

Answered by derenamanjha1234
2

angle POR =angle PRQ , then prove that angle PQS = anglePRT

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Answered by MissAngry
14

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

Plz mrk as brainliest

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