Question

in the adjoining figure both ABCD and PQRS are parallelograms Find the value of x

Answer 1

angle cbp will be 180-120 degree.
reason- co interior angles
angle spq will be 50 degree
reason- opp. sides of parrelelogram are equal
therefore angle x will be 180-(60+50)
reason-aspt
so angle x = 70 degree

Answer 2

because in ABCD, ABllDC
DAB= BCD =120 (oppos. angle of parallelogram are equal)
SRQ = QPS =50 (            "        )
OPS =PSD =50 =OSC    .......( i )
OCS =180-BCD =180-120 =60
In triangle CSO :
OCS +OSC +COS =180      (Angle sum property of triangle)
50 +60 +COS =180   ; 110 +COS =180  ;   COS =180 -110= 70
COS = x = 70    _vertically opposite angle)
Ans : x=70