Question

∠4 =……………… In given figure​

Answer 1

Given : A triangle with three angle ∠1 , ∠2  & ∠3 .  and exterior angle  ∠4 adjacent  to  ∠3

To Find :  ∠4  = ?

Solution:

∠4 + ∠3  = 180°    ( Linear Pair)

∠1 + ∠2 +  ∠3  = 180°   ( Sum of angles of triangle)

Equating 180°  

=> ∠4 + ∠3 = ∠1 + ∠2 +  ∠3

canceling ∠3  from both sides

=> ∠4  = ∠1 + ∠2

∠4  = ∠1 + ∠2

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