Question

if AB parallel to CD parallel to EF . find the value of x​

Answer 1

Answer:

x=20°

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=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 is 20°