Question

prove that angle ∠a + ∠b +∠c + ∠p +∠q +∠r = 360°​

Answer 1

Answer:

Step-by-step explanation:

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

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∠A+∠C+∠E=180   ..(1)

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

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∠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  

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

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