Question

the given figure, find the sum of angles ZA, ZB, ZC, ZD, ZE, ZF.
A
F
D
B
C
E​

Answer 1

Step-by-step explanation:

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We know that the sum of all the angles in triangle ACE is 180

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.

∠A+∠C+∠E=180

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..(1)

We know that the sum of all the angles in triangle BDF is 180

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.

∠B+∠D+∠F=180

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..(2)

Now by adding both equations (1) and (2) we get

∠A+∠C+∠E+∠B+∠D+∠F=180

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+180

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On further calculation

∠A+∠B+∠C+∠D+∠E+∠F=360

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Therefore, it is proved that ∠A+∠B+∠C+∠D+∠E+∠F=360

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Answer 2

Answer:

we know that the sum of all the angle in triangle ACE is 180

<A+<c+<E=180

(1) BDF is 180

<B+<D+<F=180

(2) now by adding both equation (1) and (2)

<A+<c+<E+<B+<D+<F=180

+180

on Further calculation

<A+<B+<c+<D+<E+<F=360