prove that the sum of the angle of a triangle is 180 degree
Answers
Answered by
2
Answer:
We know ,
[A + [B +[C =180°
60°+60°60°
180°
Answered by
0
Answer:
Proved
Step-by-step explanation:
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
.
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