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