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Q.

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


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a

360o

b

180o

c

540o

d

None of these 

answer is A.

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Detailed Solution

We need to find the sum of all exterior angles of a triangle.
Let the angles of the triangle be x,y, and z.
By angle sum property,
 x+y+z=180∘
 x+y=Exterior angle A.
 y+z=Exterior angle B.
 x+z=Exterior angle C .
Sum of exterior angles=x+y+y+z+x+z ⇒Sum of exterior angles=2x+2y+2z ⇒Sum of exterior angles=2×180∘
⇒Sum of exterior angles=360∘ The sum of all exterior angles of a triangle is 360o.
Hence, the correct option is 1.
 
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