SOLUTION: Prove that the sum of three exterior angles of a triangle fromed by producing the sides in order is four right angles or 360°

Question 1181777: Prove that the sum of three exterior angles of a triangle fromed by producing the sides in order is four right angles or 360°
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.


Let  ,   and   are three interior angles of the triangle.


Then the respective exterior angles are  ,    and  .


The sum of exterior angles is then


     +  +  =  = 540° - 180° = 360°,


since the sum of interior angles of any triangle is 180°.

At this point, the proof is completed.

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