Question

find the values of unknown x, y, z, if abcd is a parallelogram
give the answer step by step​

Answer 1

Two points lying it are the points A(−4.5,0),B(−4.5,2).

Answer 2

"" ❤️ 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)