If the sides of a triangle are produced in order what will be the sum of exterior angles formed?
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Answer:
Given that
If the sides of a triangle are produced in order .
Sum of exterior angles formed as "360".
Suppose in ∆ABC
The exterior angles are equal :-
( 180 - A )°
( 180 - B )°
( 180 - C ) °
so we get [ 540 - ( A + B + C ) ]°
We know that
Sum of interior angles = 180°
A + B + C = 180°
So from diagram ,
===> 540 - 180°
===> 360°
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- If a side of a triangle is produced then the exterior angle so formed is equals to the sum of the interior opposite angles
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