Question

sum of triangle prove 180 degree​

Answer 1

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Answer 2

Take a triangle ABC.

You wish to prove that...

Angle A+Angle B+Angle C=180°

Construction: Draw XAY parallel to BC through A.

Proof: We have,

Angle XAB+Angle BAC+angle CAY =180°(Linear pair)______(1)

Since XY || AB,

Therefore,

Angle XAB=angle ABC____(2)

And angle CAY=Angle ACB___(3)

(Because these are pairs of alternate interior angles)

Now,

(1)=>angle XAB+Angle BAC+angle CAY=180°

=>Angle ABC+angle BAC+Angle ACB=180°

[ From (2) & (3)]

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