The sides BC, CA and AB of Δ A B C are produced in order to form exterior angles ∠ A C D , ∠ B A F and ∠ C B E respectively, then ∠ B A F + ∠ A C D + ∠ C B E is Options: A . &nbsp 180 ∘ B . &nbsp 270 ∘ C . &nbsp 360 ∘ D . &nbsp 540 ∘

Answer: Option C : C By angle sum property, x + y + z = 180 ∘ ∠ B A F + ∠ A C D + ∠ C B E = ( 180 ∘ − x ) + ( 180 ∘ − y ) + ( 180 ∘ − z ) = 540 ∘ − ( x + y + z ) = 540 ∘ − 180 ∘ = 360 ∘

The sides BC, CA and AB of ΔABC are produced in order to form exterior angles �

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