Question

In the given figure, if AB || CD and EF || CD, then the value of x is​

Answer 1

Answer:

The value of x is 36°

Step-by-step explanation:

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=66°....(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+150°=180°

∠ECD=180°−150°

∠ECD=30°

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

x°+∠ECD=66°

x°+30°=66°

x°=36°

therfore the value of x is 36°