Math, asked by kishoresathiya, 8 months ago

Define the angle sum property of a triangle ​

Answers

Answered by priyanshiguptavinaya
1

Step-by-step explanation:

sum property of triangle states that the sum of interior angles of a triangle is 180°.

Answered by FazeelKarkhi
3

 \huge \underline{ \red{ \boxed{ \bf \orange{Answer \:}}}}

\rm\purple{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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