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Q.

Find the value of x if PQRS is a parallelogram.

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a

150^o

b

50^o

c

60^o

d

120^o

answer is C.

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Detailed Solution

∠SRQ + ∠QRT = 180^o (Linear Pair Angles)

⇒ ∠SRQ = 180^o − 120^o

⇒ ∠SRQ = 60^o

In parallelogram PQRS,

∠QPS = ∠SRQ (Opposite angles of a parallelogram are equal.)

⇒ x = 60^o

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