Question

Show that the angles of an equilateral triangle are 60° each.​

Answer 1

Answer:

all angles are equal then,

A=B=C=x

A+B+C=180°

x+x+x=180°

3x=180°

x=60°

Answer 2

Answer:

given: an equilateral triangle

=> AB=BC=AC

to prove: angle A = Angle B = angle C= 60°

Step-by-step explanation:

proof: AB=BC=AC (given)

therefore,

also, angle A= Angle B= Angle C --------[1]

( angles opposite to the equal sides are always equal)

Now, let angle A be x

then also,

angle B= angle C= x (by equation 1)

now,

angle A+ Angle B+ AngleC = 180°

( By angle sum property of triangle)

===> x + x + x = 180°

===> 3x= 180°

===> x= 180/3

===> x= 60°

So, angle A= Angle B= Angle C= 60° each

Hence proved

every angle of a triangle are 60°

hope it helps

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