Question

In the given figure, PQ ǁ RS, TR ǁ QU and ∠PTR = 420. Find ∠QUR. ​

Answer 1

Answer:

138°

<PTR= 42°

<QTR=180°-42°=138°

<QUR= <QTR= 138°(ALTERNATIVE INTERIOR ANGE)

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Answer 2

Step-by-step explanation:

From the given figure :-

PQ ǁ RS and TR is a transversal then

∠PTR = ∠TRU =42°

alternative interior angles

∠TRU =42°.....(1)

TR ǁ QU and RS is a transversal then

∠TRU +∠QUR=180°

Interior angles on the same side to the transversal

=>42°+∠QUR=180°

=>∠QUR=180°-42°

= >∠QUR=138°