Question

prove that all angle of a triangle is 60°​

Answer 1

Let all the angles of the equilaterol triangle be 'x'.

Now, According to Statement:-

➡x+x+x = 180°(Sum of all angles of a ∆)

➡3x = 180°

➡x= 180/3

➡x = 60°

✌Hence, all the angles of triangle are 60°.

Answer 2

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In a ∆ABC,

AB=BC=CA

therefore, Angle ABC= Angle BCA = Angle CAB =x (Angles opposite to equal sides of a ∆ are equal)

therefore, x+x+x=180° (Sum of angles of a ∆)

= 3x=180°

x=60°

Hence, Proved.....