Question

prove that the angles of an equilateral triangle are 60 each​

Answer 1

Step-by-step explanation:

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

Given : AABC be an equilateral triangle . . : AB = BC = AC. ( All sides of equilateral triangle are equal )

To prove : ZA = ZB = 2C = 60°

Proof : AB = AC = ZC = 2B . . . ( 1 ) ( Angles opposite to equal sides are equal )

Also , AC = BC = LB = LA . . . ( 2 ) ( Angles opposite to equal sides are equal )

Mark as brainliest

Answer 2

To Prove:- All angle of an equilateral triangle is 60°.

Proof:- We know that in an equilateral triangle all sides are equal.

So let us take any one side as x.

Such that,

x+x+x=180° {Angle sum property of a triangle}

3x=180°

x=180°/3

x=60°

Hence, proved.

Hope this helps you.