Question

In fig. 1.if ABCD is a parallelogram,
find the value of x, y and z
(give reasons)
Z
х
130°
у
75° fig. 1​

Answer 1

Answer:

From the figure

AD∥BC,BD is the transversal line

⟹∠ADB=∠DBC (∵alternate angles)

⟹z=30

∘

Also

100

∘

,x are supplementary angles

So x=180

∘

−100

∘

=80

∘

x,y,30

∘

forms a triangle

⟹x+y+30

∘

=180

∘

⟹y=180

∘

−80

∘

−30

∘

=70

∘