Question

find the values of unknown x,y,z in the given parelleogram​

Answer 1

Answer:

x=180-50=130°(co interior angles are supplementary)

z=x=130°(corresponding angles)

y=130°(interior opposite angles)

Answer 2

Answer:

X=y (opposite angles are equal in parallelogram)

similarly the angle opposite to 50°is equal to 50° (angle with linear pair to z)

sum of angles in parallelogram = 360°

50°+50°+X+y=360°

100°+2x=360°

2x=260°

X=130°

y=130°

z is linear pair with angle opposite to50°

z+50=180

z=130°

X,y,z=130°