Question

prove that measure of each angle of a eauilateral triangle is 60 degree

Answer 1

Yes, because a equilateral triangle has3 equal angles. The 3 angles of atriangle equal 180°. So if the anglesare all equal in an equilateral triangle, we do 60 times 3 which equals 180

Answer 2

$\bold{here \: is \: your \: answer.}$

Solution..
Triangle ABC is an equilateral triangle.
Hence, AB = BC = AC... Sides of equilateral triangle are congruent.So
angle A = angle B = angle C

Let the angles A, B,C be 'x'.
We know that,
Sum of all angles of a triangle are 180°.
Hence,
Angle x + Angle x + Angle x = 180°
3x = 180°
x = 60°.
Hence angle A = angle B = angle C = 60°.

Hence it is proved that each angle of an equilateral triangle is 60°.
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