Math, asked by moresaundarya, 7 months ago

class 9 cbse
chapter 6 lines and angles.
please give me answer

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Answered by Anonymous

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Answered by vish143690

Answer:

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If OP ll RS

Then

ON ll RS

RQ is a transversal:

In OPN

∠OPQ + ∠QPN = 108 _______ (Linear angles)

∴∠QPN = 180-110

QPN = 70° _________ (1)

∠PNR = ∠NRS _______ (Corresponding angles)

∠PNR = 130

∠PNR + ∠QNP = 180 ________ (Linear angles)

∠QNP = 50° ___________ (2)

In ΔPQN:

∠PQN + ∠PNQ + ∠QPN = 180 ______ (Angle sum property of a triangle)

∠PQR = 180 - 50 - 70

∠PQR = 60°

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