Question

In the given figure AB / /EF // CD. find the value x, y, z.​

Answer 1

Answer:

It is given that AB || CD and BC is a transversal

From the figure we know that ∠BCD and ∠ABC are alternate interior angles

So we get

∠ABC = ∠BCD

In order to find the value of x we can write it as

x + ∠ECD = 70 ……. (1)

It is given that CD || EF and CE is a transversal

From the figure we know that ∠ECD and ∠CEF are consecutive interior angles

So we get

∠ECD + ∠CEF = 180

By substituting the values

∠ECD + 130 = 180

On further calculation we get

∠ECD = 180 - 130

By subtraction

∠ECD = 50

Now by substituting ∠ECD in equation (1) we get

x + ∠ECD = 70

x + 50 = 70

On further calculation we get

x = 70 - 50

By subtraction

x= 20

Therefore, the value of x is 20.

Answer 2

x_ 60 degree loooong so it is here