Math, asked by rudra8018, 10 months ago

C
Prove that the sum of three angles of a triangle is
180°​

Answers

Answered by Anonymous
0

Answer:

Sum of the angles of a triangle = 180°

Step-by-step explanation:

Aim: To prove that the sum of three angles of a triangle is 180°​.

Requirements: Pencil, scale, eraser, pen & protractor (if required)

Procedure:

  • Draw a triangle (let it be Δ ABC) of any different sides.
  • Draw a line parallel to the Base produced for the tip...
  • Mark the angles on the sides of the drawn line as in the image.

Conclusion: As we know that the base & the opposite sides are parallel,  we can say that,

  1. ∠w = ∠y (By Alternate Interior angles)
  2. ∠v = ∠z (By Alternate Interior angles)

Now,  w + x + v = 180°

⇒ x + y + z = 180°

⇒ Sum of the angles of the triangle is 180°

Result: Proved that the sum of three angles of a triangle is 180°​.

Hope you understood the method I have used...

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Answered by Anonymous
1

Step-by-step explanation:

answer refer to the attachment.

answer refer to the attachment.

see the attachment mate

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