Question

pqrs is a trapezium sr parallel pq.angle s =45.angle r=30,pq=4,qr=12then find length sr​

Answer 1

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Since PQ||SR, and PS is transversal then

∠P+∠S=180∘ (sum of consecutive interior angles on the same of transversal is 180∘)

30∘+∠S=180∘

∠S=180∘−30∘

∠S=150∘

Since PQ||SR , and QR is transversal then

∠Q+∠R=180∘ (sum of consecutive interior angles on the same side of transversal is 180∘)

50∘+∠R=180∘

∠R=180∘−50∘

∠R=130∘

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