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□PQRS is a parallelogram. PQ = 3.5, PS = 5.3 ∠Q = 50° then find the lengths of remaining sides and measures of remaining angles. |
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Answer» □ PQRS is a parallelogram. ∠Q + ∠P = 180° ...( INTERIOR angles are supplementary.)50° + ∠P = 180° ∠P = 180° - 50° = 130°Now : ∠P = ∠R and ∠Q = ∠S ...( OPPOSITE angles of a parallelogram.)∠R = 130° and ∠S = 50° SIMILARLY, PS = QR and PQ = SR ...( opposite SIDES of a parallelogram. )QR = 5.3 and SR = 3.5 |
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