Define the angle sum property of a triangle
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Step-by-step explanation:
sum property of triangle states that the sum of interior angles of a triangle is 180°.
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- 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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