Question

PQRS is a rombus with angle QPS=50. Find angle RQS.​

Answer 1

opp. sides of a rhombus are equal

so angle QPS and angle QRS are equal

sum of co.int angle = 180°

therefore

angle QPS + angle RQS= 180°

50° + angle RQS = 180°

angle RQS = 180-50

angle RQS = 130°

Answer 2

A rhombus is kind of a parallelogram , hence

Angle.QPS=AngleQRS=50°

Now, in ∆PQS

anQRS +RSQ+RQS =180°[Angle sum property of triangle]

50°+x+x=180°(Opposite sides of rhombus are equal, therefore angles opposite to equal sides are equal)

50°+2x=180°

2x=130°

x=65°

I.e. RQS=65°

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