Math, asked by anilji124421, 8 months ago

show that the angles of an equilateral triangle are 60 degree each​

Answers

Answered by Shubhambeast007
3

Step-by-step explanation:

let all angles of triangle be x

therefore 3x=180

on solving we get x=60/proved

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Answered by Debasish7777
2

Answer:

Hope you will understand it easily.................

Step-by-step explanation:

We know that in an equilateral triangle All sides are equal......

Here,We can say that sides AB = BC = AC

Now, As AB = AC

∠B = ∠C (Angles opposite to equal sides AB and AC i.e ∠ B and ∠C are equal) - 1

Also, As AB = BC

∠A = ∠C (Angles opposite to equal sides AB and BC i.e ∠A and ∠C are equal) - 2

Now, We can say that -/

∠A = ∠B = ∠C (From 1 and 2) -3

We also know that angle sum property of a triangle is 180°.

Hence, According to the question -/

-/ ∠A + ∠B + ∠C = 180°

Or, ∠A + ∠A + ∠A = 180° (From - 3)

Or, 3 (∠A) = 180°

Or, ∠A = 180 / 3

Or, ∠A = 60°

Now, As ∠A= ∠B = ∠C

Hence,∠A= ∠B = ∠C = 60°

Therefore, Proved that /- all angles in a triangle is 60°( Sixty degree )

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