Math, asked by abinvincent03, 6 months ago

In the figure, prove that A + B + C + D + E + F = 3600

Answers

Answered by samikshya2218
0

Answer:

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Answered by vaishnavi6267
2

Step-by-step explanation:

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

∠A + ∠C + ∠E = 180°….. (1)

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

∠B + ∠D + ∠F = 180° ….. (2)

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

∠A + ∠C + ∠E + ∠B + ∠D + ∠F = 180° + 180°

On further calculation

∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360°

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

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