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Answer:
AB||ED
BC||EF
SUM PF PARALLEL LINES = 180°
SO, PARALLEL LINES = (AB+BC)+(ED+EF)
180°
Step-by-step explanation:
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GIVEN :
BA || ED and BC || EF
TO PROVE :
To show, ∠ABC + ∠DEF = 180°
CONSTRUCTION :
: Extend E Dept ED || AB
so EP || AB
PROOF :
∠1 = ∠2 (i) ( CORRESPONDING ANGELES AS ED||AB )
∠2 + ∠DEF = 180° (ii) ( Co - interior Angle are supplementry as FF ||BC)
From (i) and (ii)
∠1 + ∠DEF = 180°
But ∠1 = ∠ABC
∠A+BC ∠DEF = 180°
hence, proved :)
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