Question

Quadrilateral pqrs is a parallelogram PQ is equal to 3.5 CM PS is equal to 5.3 CM angle Q is equal to 50 degree find the length of remaining sides and measures of the remaining angles a quadrilateral pqrs is a parallelogram PQ is equal to 3.5 CM PS is equal to 5.3 CM angle Q is equal to 50 degree find the length of the remaining sides and measures of the remaining angles

Answer 1

Explanation:

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Answer 2

The length of remaining sides and measures of the remaining angles - SR=3.5cm, QR=5.3cm, 2∠P = 260°

∠P = 130°, ∠R = 130°

We will make use of the properties of a parallelogram where the opposite sides of it are of equal length and the opposite angles are of same measure.

Therefore, ∠Q = ∠S = 50°

-Length of PQ = Length of SR = 3.5cm

-Length of PS = Length of QR = 5.3cm

In quadrilateral PQRS, ∠P + ∠Q + ∠R + ∠S = 360°

∠P + ∠R + 50° + 50° = 360°

∠P + ∠R = 360° - 100° = 260°

We know, ∠P = ∠R

Therefore, 2∠P = 260°

∠P = 130°, hence ∠R = 130°