Question

Q.4. Find the value of xy and z if the figure is a parallelogram
y
400
2
112°​

Answer 1

Step-by-step explanation:

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

m∘

,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