Q. 103.7( 3 Votes )

Each pair of arms of two angles is parallel to each other. Let’s prove either these angles are equal in measurement or they are supplementary.

Answer :


Given that BC||DE.


ABC+CBD=180° (straight angle)


ABC=180°-CBD ……………….(1)


Also, draw FG||BD,


BFGD is a parallelogram


So, CBD+BDE=180° (co-interior angles)


BDE =180°-CBD ……………….(2)


From (1) and (2)


ABC=BDE


Hence Proved.


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