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Step-by-step explanation:
1. diagonals in a parallelogram bisect each other it means the diagonal divides the other into two equal halves
5y+1=6y-1
y=2
3x-1=2x+2
x=3
2. diagonals in a rhombus are perpendicular to each other
so let us consider the center as o
so in traiangleOSR 90+40+x=180
130+x=180
x=50
opposite angles in a rhombus are equal and the diagonals bisect
the opposite angle
so in triOQP
50+90+y=180
140+y=180
y=40
8. here we can say x+y=70
the extrerior angle is equal to sum of the interior opposite angles
here
x+45=y+angleACD--(1)
angle B=angle Z
x+z+45=180
x+z=180-45=135--(2)
z+45+angle ACD=180
z+angleACD=135
angle ACD=135-z
sunstitute in (1)
x+45=y+135-z
x-y+z=90
y=135-90=45
x=25 from (1)
z=70
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