Q. 204.3( 9 Votes )

If the side of a triangle are produced in order, Prove that the sum of the exterior angles so formed is equal to four right angles.


Answer :

Proof


In triangle ABC,


=+ ________________ (i)


=+________________ (ii)


=+________________ (iii)


Adding equation (i), (ii) and (iii),


++= 2(++)


++= 2(180°) [Sum of angles of triangle]


++= 360°Proved.


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