In the given figure , AB||ED and BC||EF . Show that Angle DEF +ABC =180 .
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Step-by-step explanation:
∵BA∣∣ED
∠1=∠2.......(i)
(Corresponding angles)
Also BC || EF
⇒∠2+∠3=180 degree .......(ii)
(Sum of the interior angles on the same side of a transversal is 180 degree)
From (i) and (ii), we get
∠1+∠3=180 degree
i.e. ∠ABC+∠DEF=180
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