Question

In the figure, AB || CD || EF. Find the value of x.
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Answer 1

It is given that AB || CD and BC is 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° ....(i)

It is given that CD∥EF and CE is 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°

∠ECD = 180° − 130°

∠ECD=50°

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

x° +∠ECD = 70°

x° + 50° = 70°

x° = 20°

Therefore, the value of x = 20°

Answer 2

Answer:

x=70°

Step-by-step explanation:

Given that,AB||CD||EF

B=C=70°(Corresponding angles)

so X=70°