Question

prove that each angle of an equilateral triangle measure 60 degree

Answer 1

Hii..

Here is ur answer :--

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We know that all sides of an equilateral triangle are equal.

So, let each angle be x degree

As we know sum of the interior angle of a triangle is 180degree

so, x + x + x =180degree

=> 3x = 180degree

=> x = 180/3

=> x = 60degree

Therefore, each angle of an equilateral triangle measure 60 degree.

Hence, Proved.

Hope it helps!!

Answer 2

As we know that all sides are equal,

Let angles are a, b and c

By the property of isosceles triangle,

a =c (angles are also equal)
a =b. (angles are equal)

Then,

a =c = b

angle A =angle B = angle C

Now,

As we know that sum of all angles of a triangle is 180°

180 = Angie A + angle B + angle B

As all are equal,

180 = angleA + angle A +angle A

180 =3(angle A)

180/3 =60° = angle A


Now, all angles are:-

60,60 and 60 (because all were equal)



I hope this will help you


-by ABHAY