Question

find x and y in the following figures

Answer 1

x=180-150
x=30
y=180-130=150

Answer 2

since the given figure is kite

 so their diagonals are perpendicular to each other. [i.e., angles sop=sor=roq=qop=90 degree]

let the point where the diagonals of kite SQ and PR intersect each other be o

so in triangle SOP

= x + 60 + 90 = 180

   x= 180 - 60 -90

  x = 180-150

  x = 30 degree

now ,

              SR = RQ

        =  Angle rso = angle rqo  = 40 degree    [angles opposite to equal sides of a triangle are equal]

            again in triangle sor

            angle RSO + SOR + ORS = 180   [ ANGLE SUM PROPERTY OF TRIANGLE]

               40 + 90 + y = 180

                130 + y = 180

                    y =  180 - 130

                    y  =  50 degree