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Question

If the sides of a triangle are produced, then the sum of the exterior angle i.e. a+b+c is equal to:
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A
1800
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B
3600
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C
900
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D
2700
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Solution

The correct option is B 3600
In ABC,
a=ABC+ACB (Exterior angle property)
b=ACB+BAC (Exterior angle property)
C=ABC+BAC (Exterior angle property)
Adding all the equations:
a+b+c=2(ABC+ACB+BAC)
a+b+c=2(180o)
a+b+c=360.

Therefore, option B is correct.

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