prove that sum of the angles of a triangle is 180 degree
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Theorem 1: Prove that sum of all three angles is 180° or 2 right angles.
Given: ∆ABC.
To prove: ∠A + ∠B + ∠C = 180°
Construction: Draw PQ. || BC, passes through point A.
Proof: ∠1 = ∠B and ∠3 = ∠C ……. ( i) [∵ alternate angles ∵ PQ || BC] ∵ PAQ is a line. ∴∠1 + ∠2 + ∠3 = 180° (linear pair application) ∠B + ∠2 + ∠C = 180°
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