Math, asked by khanraju70546, 5 months ago

each angle of the equalatence triangle is always​

Answers

Answered by shrutijangraswn
0

Answer:

60 degree mate if u remember 9th class thorem then i needn't to explain it

Answered by Anonymous
2

Answer:

➡ 60°

Step-by-step explanation:

Each angle of an equilateral triangle is always 60°.

___________________________________

Let us take an equilateral triangle ABC

We know that an equilateral triangle always have all sides equal, therefore

AB = BC = AC

Now,

we also know that angles opposite to equal sides are also equal, therefore

<A= <B = <C. .....(1)

let <A=<B=<C= x

We know that

Sum of all angles of a triangle is 180°

that is,

<A+<B+<C= 180°

=> x+x+x = 180°

 = 3x \:  = 180

 = x =  \frac{180}{3}

=> x = 60°

hence proved, because...

<A=<B=<C= 60°

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