What is the angle sum property of triangle
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Answer:
The angle sum property of triangle is 360°
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Answer:
SUM OF THREE ANGLES OF A TRIANGLE IS ANGLE SUM PROPERTY OF A TRIANGLE
Step-by-step explanation:
Given :
A triangle ABC.
To prove :
∠A+∠B+∠C=180
o
⟹∠1+∠2+∠3=180
o
Construction :
Through A, draw a line l parallel to BC.
Proof :
Since 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
o
Thus, the sum of three angles of a triangle is 180
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