Question

Show that the angle of an equilateral triangle are 60 digree each

Answer 1

Hey !

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Angles of triangle=180 degrees 

triangle A B C = 180 degrees 

angle AB + Angle BC + Angle AC = 180 degrees 

in equilateral triangle all sides are equal and hence all angles are equal. Hence AB=BC=AC 

so 3AB=180 degrees 
AB=180/3 degrees 

so Angle AB = 60 degrees 

Hence the proof 
angle AB = Angle BC = Angle AC = 60 degrees

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#Hope it helps #
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Answer 2

Hello mate ^_^

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Solution:

∆ABC is equilateral which means that

AB=BC=AC.

AB=AC means that ∠B=∠C                  (In triangle, angles opposite to equal sides are equal)  .....(1)

AB=BC means that ∠A=∠C         (In triangle, angles opposite to equal sides are equal) ...... (2)

From (1) and (2), we can say that

∠A=∠B=∠C                                     .........(3)

Also, ∠A+∠B+∠C=180°             (Angle sum property of triangle)

Putting (3) in the above equation, we get

∠A+∠A+∠A=180°

⇒3∠A=180°

⇒∠A=180/3=60°                .......(4)

From (3) and (4), we can say that

∠A=∠B=∠C=60°

hope, this will help you.

Thank you______❤

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