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How the sun of the interior angles of any traingle is always 180 degrees?

  • Maria Shaikh
  • May 08, 2025
  • 1 answers
  • 6 times viewed

Hello everyone, I have a question about mathematics:

 
"Prove that the sum of the interior angles of any triangle is always 180 degrees."
  
Please answer in detail 💎

Edited by: Maria

Zeeshan – I will trying to answer it. – May 10, 2025 - 14:06

Maria – Ok – May 10, 2025 - 14:26

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1 Answers

  • 2

    Umar Shaikh

    May 08, 2025
     
    1. Consider a triangle ABC.
    2. Draw a line through vertex A, parallel to side BC.
    3. Angles formed at A are equal to angles B and C (alternate interior angles).
    4. The sum of angles at A is 180° (straight line).
    5. Therefore, ∠A + ∠B + ∠C = 180°.
     
    This proof demonstrates that the sum of interior angles in any triangle is indeed 180

    Maria Shaikh – Thank you very much for giving me such a nice answer 💗 – May 20, 2025 - 20:15

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