consider the following parallelogram and find the value of x,y,z.
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(i) x+100=180 [Adjacent angles]
x=80
z=x=80
∘
[opposite angles are equal]
y=100
∘
(ii) 50+y=180
y=130
∘
x=y=130
∘
and z=x=130
∘
(corresponding angles)
(iii) x=90
∘
(vertically opposite angles)
x+y+30=180
∘
y=180−120=60
∘
z=y=60
∘
(Alternate angles)
(iv) z=80,y=80 (Opposite angles)
x+y=180
∘
,x=180−80⇒x=100
∘
(v) y=112
∘
(opposite angles)
x+y+40=180
∘
(Angle sum property)
x=180−152
x=28
∘
z=x=28
∘
(Alternate angles)
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Answer:
such rude we can't write anything wrong man what the hell
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