How to prove the sum of angles in a Triangle is 180°
We Know sum of angles in a tri angle is 180° but how can we prove that Consider triangle ABC

Draw a line which is parallel to “AB” and passing through “C”

Their is new angles ∠ACD and ∠BCE are formed

So from figure we understand that
∠ACD = ∠A Alternate intern angles
∠BCE = ∠B Alternate intern angles
So
Sum of angles of
triangle = ∠A+∠B+∠ACB
= ∠ACD+∠BCE+∠ACB
= 180° because
DE is a straight line
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