Question

in the figure shows that A+B+C+D+E+F=360

Answer 1

A + B + C = 180° .. (I) [by angle sum property]
similarly
D + E + F = 180° .... (ii)

adding eq (I) and (ii)

A + B + C + D + E + F = 180 +180 = 360

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Answer 2

A+B+C+D+E+F= 360
In triangle ACE:-
angle A+angle C+angle E =180------->>(1)
now in traingle BFD :-
angle B+angle F+angleD
=180-------->>(2)
now add (1) and (2)
that is
A+B+C+D+E+F=180+180
=360
hope it helps you