Question

Prove that the angles of an equilateral triangle 60 degree each. Answer in brief​

Answer 1

Good morning mate ..

....

Sum of measure of all angle of triangle is 180

take any three angles

m<a +m<b+ m<c =180°

take all angles as x

x+x+x = 180

3x =180°

x=60

so, all the angles of triangle are 60°

...

Answer 2

Answer:-

Main Aim:-

To prove the angles of an equilateral ∆ are 60° each.

Procedure:-

We know, an equilateral triangle has 3 sides which are same.

Theorem:

All the angles of an equilateral triangle are equal.

Let of them be : x°

Total measurement : 180°

Angles in a triangle : 3

ACCORDING TO THE QUESTION:-

x + x + x = 180 (Equation Formation)

=> 3x = 180 (Addition of like terms)

=> x = 180/3 (3 is taken to the right hand side)

=> x = 60° (Division)

Hence, we can say that each angle of an equilateral triangle is 60°.