English, asked by manthanpatel12, 1 month ago

Prove that the sum of the angles of a triangle is 180​

Answers

Answered by MysteriousMoonchild
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 1 ∥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°

Answered by ppoojakewat200
0

Answer:

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