Question

In Fig, AB || DE and x = y, prove that BC || EF.
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Answer 1

Answer:

by Pythagoras theorem

Step-by-step explanation:

AB||DE

BC||EF

AND X=Y

So that, BC||EF

Answer 2

AB // DE , BC is a transversal.

angle ABO = angle DOC = x ( corresponding angles)

given x = y

》 angle DOC = angle OEF

here angle DOC and angle OEF are corresponding angles.

as corresponding angles are equal those lines are parallel.

》 BC // EF.

therefore, BC // EF