Show that the angle of equilateral triangle is 60 each​

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answer:

By angle sum property we know that the sum of all the angles of a triangle is 180

We know that all the sides of a triangle are equal.

i.e all the angles of an equilateral triangle are equal.

Let each angle be x.

x+x+x=180

60o

3x = 180

⇒x = 60

Hence the answer.

equal sides of a triangle has opposite angle equal

Ok so as we know by the name that equilateral triangle has all sides equal so all 3 angles are equal too.

Now by angle sum property angle a + angle b+ angle c= 180 degrees

3 angle a= 180 degrees (as angles a angle b and angle c are equal)

angle a = 180/3 =60 degrees.

hence all angles are 60 degrees

Step-by-step explanation:

Hope you understood friend

Explanation:

Since, we know, that the sum of all angles of any triangle be 180° . Let each angle be a. Thus, Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.

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In equi. triangle

All angles are equal

Let each angle be x

x+x+x=180 (triangle sum prop.)

3x=180

x=180/3

x=60

Hence proved

Step-by-step explanation:

Accordingly, all the 3 sides of the equilateral triangle hold equal angles. Since, we know, that the sum of all angles of any triangle be 180° . Let each angle be a. ... Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.

Step-by-step explanation:

Ans let each angle of an triangle be -x

(as an equlateral triangle have equal angles)

3x=180

x=180/3

×= 60

hence each angle of a triangle is 60 degree .

Step-by-step explanation:

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➡️Given= Sum of all sides of the triangle is 180.

➡️To proof = all angle of equilateral triangle is 60°

➡️Proof=

Since all the sides in equilateral triangle are equal ,Angles are also equal

Let it be x

The Angle sum property of triangle is 180

x+x+x=180

3x=180

x= 3/ 180

=60 °

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