Math, asked by brainlyabcd, 4 months ago

prove that all angles of triangle is 180°​

Answers

Answered by ItzSugaryHeaven3
1

Answer:

here is ur answer

refer the attachment ☝

hope it helps !

@itzSugaryHeaven3

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Answered by Anonymous
1

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°.

Step-By-Step Explanation:

#HopeItHelps

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