Question

AB parallel CD ,then the value of x is * 2 points  20⁰ 30⁰ 45⁰ 60⁰​

Answer 1

Step-by-step explanation:

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

xo+∠ECD=70o....(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=180o

by substituting the values

∠ECD+130o=180o

∠ECD=180o−130o

∠ECD=50o

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

xo+∠ECD=70o

xo+50o=70o

xo=20o

therfore the value of x is 20o