Question

show that the angle of an equalteral triangle are 60° each​

Answer 1

Answer:

Answer in The Above Attachment

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Answer 2

Answer:

Let ABC be an equilateral triangle in which AB=BC=AC

As AB=BC 

∠A=∠C [Angles Opp. to equal sides are equal]

Also, AB=AC

∠A=∠B [Angles Opp. to equal sides are equal]

Now,

∠A+∠B+∠C=180 [Angle sum property of a triangle]

∠A+∠A+∠A=180 [∠A=∠B=∠C]

=>3∠A=180

=>∠A=60

Therefore,

∠A=∠B=∠C=60

So all the angles of an equilateral triangle are 60.