်
prove that the sum of
of triangle
is 180
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Answer:
this is simple theorem as you see in book if any doubt in step then sent i will explain
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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 ....... (i)
And, ∠3=∠5..... (ii)
adding (i) and (ii)
Therefore, ∠2+∠3=∠4+∠5
∠1+∠2+∠3=∠1+∠4+∠5 [adding ∠1 to both Sides]
∠1+∠2+∠3=180°
Thus, the sum of three angles of a triangle is 180°
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