Question

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Answer 1

∠RST+∠SRU=180∘

(Sum of the consecutive interior angles on the same side of the transversal is 180∘)

⇒130∘+∠SRU=180∘

⇒∠SRU=180∘−130∘=50∘ ………(i)

∠QRU=∠PQR=110∘ (alternate interior angles)

⇒∠QRS+∠SRU=110∘

⇒∠QRS+50∘=110∘ (using (i))

⇒∠QRS=110∘−50∘=60∘