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Q.

In the figure, ∠A+∠B+∠C+∠D+∠E+∠F=360∠A+∠B+∠C+∠D+∠E+∠F=360.


E.png

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a

true

b

false 

answer is A.

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Detailed Solution

The statement is true.
The sum of interior angles of a triangle is 180
In AEC
A+C+E= 180  
In BFD
B+F+D=180  
On adding the above two equations:
A+C+E + B+F+D = 180 + 180  
A+B+C+D+E+F= 360  
The statement is true.
 
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In the figure, ∠A+∠B+∠C+∠D+∠E+∠F=360∘∠A+∠B+∠C+∠D+∠E+∠F=360∘.