Question

prove that sum of all the angles of a triangle is 180 degree​

Answer 1

ANSWER

Given :

A triangle ABC.

To prove :

∠A+∠B+∠C=180

⟹∠1+∠2+∠3=180

Construction :

Through A, draw a line l parallel to BC.

Proof :

Since l∥BC. Therefore,

∠2=∠4 .......eq(i)

And, ∠3=∠5......eq(ii)

adding eq(i)and(ii)

Therefore, ∠2+∠3=∠4+∠5

∠1+∠2+∠3=∠1+∠4+∠5 [adding∠1bothSide]

∠1+∠2+∠3=180

Thus, the sum of three angles of a triangle is 180

I hope this helps you......