Question

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

Answer 1

In an equilateral triangle angle opposite to equal sides are also equal
Angle A=Angle B=Angle C=180/3
Therefore each angle is equal to 60 degree each

Answer 2

Hello mate ^_^

____________________________/\_

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______❤

_____________________________❤