Question

In figure find the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F


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Answer 1

Answer:

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In figure find the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360°

Explanation:

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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°

I hope it will be helpful..☃️

Answer 2

Answer:

∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360°.

Explanation:

In the above figure we see that :-

Triangle ABC = 180° (Angle sum property of a triangle) Also,

Triangle DEF = 180° (Angle sum property of a triangle)

So, Triangle ABC + Triangle DEF = 180° + 180°

= 360°

Therefore, ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360°.