Question

The Following figure has been obtained by using two triangles. Prove thatz A+ 2B + 2C+ 4D +2E+2F=360°.​

Answer 1

Answer:

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∘.