Q. 255.0( 5 Votes )

In Fig 8.121, arm

Answer :

Given that,

AB DE and BC EF


To prove: ABC + DEF = 180o


Construction: Produce BC to intersect DE at M


Proof: Since, AB EM and BL is the transversal


ABC = EML (Corresponding angles) (i)


Also,


EF ML and EM is the transversal


By the property co interior angles are supplementary


DEF + EML = 180o(ii)


From (i) and (ii), we have


DEF + ABC = 180o


Hence, proved


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