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Question
In the given figure, PQ || RS, TR || QU and ∠PTR = 42°. Find ∠QUR.
Solution
Since, PQ || RS and TR is a transversal.
∴ ∠PTR – ∠TRU = 42° ......(i) [Alternate interior angles]
Also, TR || QU and RS is a transversal.
∴ ∠TRU + ∠QUR = 180° ......[Co-interior angles]
⇒ 42° + ∠QUR = 180° ......[Using (i)]
⇒ ∠QUR = 180° – 42° = 138°
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