Question

14. In the figure, is AB || EF ?
please explain the answer and I will make you brainliest​

Answer 1

Answer:

It is not parallel

Step-by-step explanation:

Because FEC +ECD = 180°

and ABC + BCD = 100°

So, FE And CD are parallel

And AB and CD are not parallel

So if AB abd CD are not parallel then AB and FE also will not be parallel

Hope you understand

I tried my best

Answer 2

In the above figure following things are given :

∠ABC=50°

∠BCD=30°+20°

∠BCD=50°

that means,

∠ABC=∠BCD

Then AB || CD - - - - - (i)

Converse or Postulate

If two angles are interior angle of two parallel lines cut by transversal line have its interior angles whose alternate are also parallel.

∠CEF=160°

∠DCE=20°

∠CEF+∠DCE=180°

160°+20°=180°

180° =180°

Interior angle on same side of transversal

CD || EF - - - - - - (ii)

By equation i & ii

That means

AB || CD || EF

Or

${\boxed {\bold \red{AB \: || \: EF}}}$