Prove that the sum of al angles of a triangle is 180°Wrne linearution

1.	Prove that the sum of al angles of a triangle is 180°Wrne linearution 1
Answer» ong>Step-by-step explanation: ANSWER Given : A triangle ABC. To prove : ∠A+∠B+∠C=180 o ⟹∠1+∠2+∠3=180 o 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 o Thus, the sum of three ANGLES of a triangle is 180

Prove that the sum of al angles of a triangle is 180°Wrne linearution 1

Answer»

ong>Step-by-step explanation:

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