Question

prove that the sum of sngles of a triangle is 180 degre ​

Answer 1

the angle of a triangle is 180 degree because it have 90 degree and any two acute angle some is 90 degree 90 degree + 90 degree is equal to 180 degree

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Answer 2

Step-by-step explanation:

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 equation (I)

And, ∠3=∠5. equation (II)

adding equation (i) and (ii)

Therefore, ∠2+∠3=∠4+∠5 ∠1+∠2+∠3=∠1+∠4+∠5

[adding ∠1 both Side]

∠1 + ∠2 + ∠3 = 180°

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