Question

show that the angles of an equilateral triangle are 60 degrees

Answer 1

=>All sides are equal so opposite angles of equal sides are equal

=>That is angles are x, x, x

Angles sum property of triangle
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x + x + x = 180
3x = 180
x = 180/30
x = 60°

Therefore all the angles are 60°

Answer 2

as we know that all the angles of an equilateral triangle are equal so let us take all the angles as x.
now we know that all the angles of a triangle must add up to 180 degrees.
so, x+x+x=180 degree
3x=180 degree
x= 180/3
x= 60 degree
thus proved that all the angles of an equilateral triangle are equal.
I HOPE IT HELPS
WITH REGARDS
ANKITA