Math, asked by aa0074017, 6 months ago

Sum of angles of triangle is ​

Answers

Answered by mallipeddideepa
0

Answer:

180 DEGREE

Step-by-step explanation:

Answered by piyushkurve18
0

Answer:

Sum of all the angles of a triangle is 180°

Step-by-step explanation:

Consider 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 ∠1 on both side]

∠1+∠2+∠3=180  °  

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

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