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Question

What is the sum of all the exterior angles of a triangle?


A

360

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B

100

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C

540

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D

180

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Solution

The correct option is A

360


By the exterior angle property, ACD=BAC+ABC...(i)BAE=ABC+ACB...(ii)CBF=ACB+BAC...(iii)

Sum of exterior angles of ABC
= ACD+BAE+CBF = 2(ABC+ACB+BAC)

We know that, ABC+BAC+ACB=180(Angle sum property)

Sum of exterior angles=2×(180)=360


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