Q. 1473.9( 7 Votes )

# In parallelogram

Answer :

Given:

RQY = 60°

RQY and RQP form a linear pair

RQP = 180° - RQY = 120°

RQP =120°

Now, in a parallelogram, the opposite sides are equal,

RQP = S = 120°

Similarly, P = R

Now, from the angle sum property of a quadrilateral,

P + R + Q + S = 360°

P + R + 120° + 120° = 360°

2P = 120°

P = 60°

R = 60°

Now,

Opposite sides of the parallelogram are equal.

SR = PQ = 15 cm

Also, PS = QR = 11 cm

And, the diagonals of the parallelogram bisect each other.

Hence, PR = 2×PQ = 2×6 = 12 cm.

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