Question

In the given figure. AB || CD and BC||DE.Show that angle x= angle y​

Answer 1

Answer:

x=y

Step-by-step explanation:

We know AB||CD that means

angle ABC = angle BCD

(alternate interior angles)

We know BC||DE that means

angle BCD = angle CDE

(alternate interior angles)

angle ABC = angle BCD

angle CDE = angle BCD

therefore angle ABC = angle CDE

(things equal to the same thing are equal to one another)

hence <x=<y

Answer 2

Step-by-step explanation:

Since , AB is parallel to CD

angle x = angle BCD

Also, BC is parallel to DE

so, angle y = angle BCD