Question

In each of the following figures, two lines AB and CD are cut by a transversal EF. In each case, find. whether AB//CD or not. Give reasons in support of your answer. ​

Answer 1

Draw a line GH parallel to AB and CD passing through E

∠GEA=∠EAB (Alternate angles)

∠GEA=65∘

∠GEC=∠ECD (Alternate angles)

∠GEC=35∘

∠CEA=∠GEA+∠GEC (From figure)

x=65∘ +35 ∘=100 ∘

Answer 2

$\huge \mathcal {\fcolorbox{red}{gray}{\green{A}\pink{N}\orange{S}\purple{W}\red{E}\blue{R}{!}}}$

Draw a line GH parallel to AB and CD passing through E

∠GEA=∠EAB (Alternate angles)

∠GEA=65∘

∠GEC=∠ECD (Alternate angles)

∠GEC=35∘

∠CEA=∠GEA+∠GEC (From figure)

x=65∘ +35 ∘=100 ∘

HOPE SO IT WILL HELP......