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Prove that the sum of three angles of a triangle is
180°
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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,
- ∠w = ∠y (By Alternate Interior angles)
- ∠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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Step-by-step explanation:
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