Question

from the given information in the figure prove that a b parallel CD parallel to EF​

Answer 1

Answer:

Proof:

construction:

join ce

then we will get

in triangle ABE

70+40+x=180

x=70

and we know that angle cef will be equal to

110-70=40

angle ABE and angle BCD are forming a altermate interior angles

therefore AB parallel to CD-------------(converse of alternate interior angles theorem)

angle CEF= angle ABC

therefore again by alternate interior angles theorem

AB parallel to EF

from AB||CD||EF