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.
Proof
In triangle ABC,
=+ ________________ (i)
=+________________ (ii)
=+________________ (iii)
Adding equation (i), (ii) and (iii),
++= 2(++)
⇒ ++= 2(180°) [Sum of angles of triangle]
⇒ ++= 360°Proved.