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Draw a triangle ABC .Produce BC to D . Interior angles are marked as 1,2,3 and exterior angle ACD marked as 4 .
angle 1+2 = angle 4 ( by exterior angle) ....1
angle 1 +2+3 = 4+3 (adding ang. 3 to both side)...2
but ang.4 +3 = 180° (by linear pair ) ..3
from 2 and 3 ,
angle 1 +2+3=180°
hence, sum of all angles is 180°
angle 1+2 = angle 4 ( by exterior angle) ....1
angle 1 +2+3 = 4+3 (adding ang. 3 to both side)...2
but ang.4 +3 = 180° (by linear pair ) ..3
from 2 and 3 ,
angle 1 +2+3=180°
hence, sum of all angles is 180°
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