Question

Show that angle of an equilateral are 60 each

Answer 1

In an equilateral all the angles are equal.
Let the angles be x.
Now, as we know from angle sum property of a triangle, sum of all the angles of a triangle is equal to 180 degree.
So, x + x + x = 180
3x = 180
x= 60 degree.

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Thankyou.........

Answer 2

Let the angles of an equilateral triangle be A,B and C.

Let the sides be Ab,BC and CA.
In an equilateral triangle all sides are equal.

◆AB=BC=CA.
AB=BC
angle C= angle B .... since angles opposite to equal sides are equal.

Now, BC=CA
Angle A= angle B

so, angles A=B=C.

Now angle A+ B + C= 180... angle sum property of triangle.

A+A+A=180. ...A=B=C.
3A=180
A=60°
Similarly B=60° and C=60°

I hope this helps.