prove the sum of angle of a triangle is 180 degree
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ABC is a triangle.
Through point A draw the line EF∥BC.
⇒ ∠ABC=∠EAB [ Alternate angles ]
⇒ ∠BCA=∠FAC [ Alternate angles ]
l
⇒ ∠EAB+∠BAC+∠FAC=180° [ Linear pairs ]
By substituting ∠EAB=∠ABC and ∠FAC=∠BCA
⇒ ∠ABC+∠CAB+∠ACB=180°
∴ The sum of all the three angles in a triangle is 180°
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