□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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Given :
□ 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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angle P and R is equal to 130 degree
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