Question

Prove angle sum property of a triangle​

Answer 1

Answer:

Angle Sum Property of a Triangle

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°

Answer 2

Step-by-step explanation:

Angle Sum Property of a Triangle

Theorem 1: Prove that sum of all three angles is 180° or 2 right angles.

2: Given: ∆ABC

3: To prove: ∠A + ∠B + ∠C = 180°

4: Construction: Draw PQ || BC, passes through point A

5: 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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