Question

15 points.



Prove that sum of angles of a triangle is 180°

In simplest way with a figure.​

Answer 1

Answer:

we know the formula to find the total interior angle of polygon = (n-2) 180

where n is number of sides

therefore, total interior angle = (3-2) 180 = 180 degree

hence proved

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Answer 2

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°

diagram is in the pic

I hope it will help you..!!