Question

angal of equilateral triangle is 60.this statement is true or false, justify your answer plzzzzzz.............​

Answer 1

Answer:

Step-by-step explanation:

Off course it is true because

There are three angles in triangle

Here it is equilateral so

Angle A +B+C=180 DEGREE(sum of angles of triangle)

ANGLE A=B=C=60 DEGREE

Answer 2

Angles of an equilateral triangle are 60° .

Answer => True

Proof =>

Let us consider an equilateral triangle ABC

Such that AB= BC= CA

AB=BC => ∠A = ∠C ---> eq 1

[ opposite angles to the equal sides are equal ]

BC=AC => ∠B = ∠A ---> eq 2

[ opposite angles to the equal sides are equal ]

From equation 1 and equation 2 we get =>

∠A = ∠B = ∠C ---> eq 3

As we know ,

Sum of the angles in a triangle = 180°

∠A + ∠B + ∠C = 180°

∠A + ∠A + ∠A = 180° [ from equation 3 ]

3 ∠A = 180°

∠A = 180° / 3

∠A = 60°

Hence each angle of an equilateral triangle is 60° .