Question

1. Find the values of x, y and z in the following
parallelograms.
110, z, 40, x, y

Answer 1

Answer:

(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)

Answer 2

Answer:

anwer fig./////

x=70

y=70

z=110.