Question

8.
Show that the angles of an equilateral triangle
are 60° each.​

Answer 1

Step-by-step explanation:

As it is equilateral triangle, every angle in equal

So let the angle of an equilateral triangle be=x

So

x+x+x=180(angle sim property)

3x=180

x=180/3

x=60

So each angle of an equilateral triangle =60°each.

Answer 2

$heya....$

Now....

Let ABC be the given triangle...

Also given ➡ AB = BC = CA.

Prove ➡ angles of an equilateral triangle are 60° each.

⬇Solution ⬇

Let angle ABC be X.

AB = BC = CA. ( given)

➡ angle ABC = angle ACB= angle BAC = X

So....

By Angle sum property of a triangle,

x + x + x = 180°

3x = 180°

x = 60°

(i.e) angle ABC = angle ACB= angle BAC = 60°

!!Hence proved!!