1.

14. Prove that the sum of the angles of a triangle is 180°.​

Answer»

ANSWER:

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 it helps u plzz mark as brainlist ✌️✌️☺️❣❣


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