Question

show that the angle of an equilatetal triangle are 60 each
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Answer 1

Answer:

The sum of all the angles of a triangle is 180.

We know that all the sides of a triangle are equal.

Also, as it is an equilateral triangle, all the angles of an equilateral triangle are equal

Let each angle be x.

Let each angle be x.x + x + x = 180$\bf\underbrace {sum\: of\: measures\: of \:all\: angles\: of \:a \:triangle\: is\: 180°}$

3x = 180

x =180/3

⇒x = 60

Hence we showed that every angle of an equilateral triangle are 60°